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Finding the Third Proportional to 362,304 and 532,377

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Solution

The third proportional to 362,304 and 532,377 is: 782,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,304 : 532,377 = 532,377 : x
  2. Step 2: Convert to fraction form
    362,304/532,377 = 532,377/x
  3. Step 3: Cross multiply
    362,304x = 532,377 × 532,377
  4. Step 4: Simplify right side
    362,304x = 283,425,270,129
  5. Step 5: Solve for x
    x = 283,425,270,129/362,304
  6. Step 6: Final answer
    x = 782,285.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.