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Finding the Third Proportional to 322,025,472 and 707,313,600

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Solution

The third proportional to 322,025,472 and 707,313,600 is: 1,553,580,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,025,472 : 707,313,600 = 707,313,600 : x
  2. Step 2: Convert to fraction form
    322,025,472/707,313,600 = 707,313,600/x
  3. Step 3: Cross multiply
    322,025,472x = 707,313,600 × 707,313,600
  4. Step 4: Simplify right side
    322,025,472x = 500,292,528,744,960,000
  5. Step 5: Solve for x
    x = 500,292,528,744,960,000/322,025,472
  6. Step 6: Final answer
    x = 1,553,580,608.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.