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Finding the Third Proportional to 332,442 and 708,327

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Solution

The third proportional to 332,442 and 708,327 is: 1,509,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,442 : 708,327 = 708,327 : x
  2. Step 2: Convert to fraction form
    332,442/708,327 = 708,327/x
  3. Step 3: Cross multiply
    332,442x = 708,327 × 708,327
  4. Step 4: Simplify right side
    332,442x = 501,727,138,929
  5. Step 5: Solve for x
    x = 501,727,138,929/332,442
  6. Step 6: Final answer
    x = 1,509,217.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.