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Finding the Third Proportional to 349,850,419.50 and 809,925,831

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Solution

The third proportional to 349,850,419.50 and 809,925,831 is: 1,875,029,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,850,419.50 : 809,925,831 = 809,925,831 : x
  2. Step 2: Convert to fraction form
    349,850,419.50/809,925,831 = 809,925,831/x
  3. Step 3: Cross multiply
    349,850,419.50x = 809,925,831 × 809,925,831
  4. Step 4: Simplify right side
    349,850,419.50x = 655,979,851,721,040,512
  5. Step 5: Solve for x
    x = 655,979,851,721,040,512/349,850,419.50
  6. Step 6: Final answer
    x = 1,875,029,484.48

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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.