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Finding the Third Proportional to 349,850,329.88 and 809,925,616.69

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Solution

The third proportional to 349,850,329.88 and 809,925,616.69 is: 1,875,028,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,850,329.88 : 809,925,616.69 = 809,925,616.69 : x
  2. Step 2: Convert to fraction form
    349,850,329.88/809,925,616.69 = 809,925,616.69/x
  3. Step 3: Cross multiply
    349,850,329.88x = 809,925,616.69 × 809,925,616.69
  4. Step 4: Simplify right side
    349,850,329.88x = 655,979,504,566,627,200
  5. Step 5: Solve for x
    x = 655,979,504,566,627,200/349,850,329.88
  6. Step 6: Final answer
    x = 1,875,028,972.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.