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Finding the Third Proportional to 386,654 and 591,536

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Solution

The third proportional to 386,654 and 591,536 is: 904,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,654 : 591,536 = 591,536 : x
  2. Step 2: Convert to fraction form
    386,654/591,536 = 591,536/x
  3. Step 3: Cross multiply
    386,654x = 591,536 × 591,536
  4. Step 4: Simplify right side
    386,654x = 349,914,839,296
  5. Step 5: Solve for x
    x = 349,914,839,296/386,654
  6. Step 6: Final answer
    x = 904,981.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.