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Finding the Third Proportional to 356,727 and 522,292

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Solution

The third proportional to 356,727 and 522,292 is: 764,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,727 : 522,292 = 522,292 : x
  2. Step 2: Convert to fraction form
    356,727/522,292 = 522,292/x
  3. Step 3: Cross multiply
    356,727x = 522,292 × 522,292
  4. Step 4: Simplify right side
    356,727x = 272,788,933,264
  5. Step 5: Solve for x
    x = 272,788,933,264/356,727
  6. Step 6: Final answer
    x = 764,699.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.