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Finding the Third Proportional to 300,497,512.25 and 652,723,964.75

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Solution

The third proportional to 300,497,512.25 and 652,723,964.75 is: 1,417,810,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,497,512.25 : 652,723,964.75 = 652,723,964.75 : x
  2. Step 2: Convert to fraction form
    300,497,512.25/652,723,964.75 = 652,723,964.75/x
  3. Step 3: Cross multiply
    300,497,512.25x = 652,723,964.75 × 652,723,964.75
  4. Step 4: Simplify right side
    300,497,512.25x = 426,048,574,158,959,232
  5. Step 5: Solve for x
    x = 426,048,574,158,959,232/300,497,512.25
  6. Step 6: Final answer
    x = 1,417,810,653.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.