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Finding the Third Proportional to 332,304 and 502,423

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Solution

The third proportional to 332,304 and 502,423 is: 759,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,304 : 502,423 = 502,423 : x
  2. Step 2: Convert to fraction form
    332,304/502,423 = 502,423/x
  3. Step 3: Cross multiply
    332,304x = 502,423 × 502,423
  4. Step 4: Simplify right side
    332,304x = 252,428,870,929
  5. Step 5: Solve for x
    x = 252,428,870,929/332,304
  6. Step 6: Final answer
    x = 759,632.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.