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Finding the Third Proportional to 272,926 and 592,472

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Solution

The third proportional to 272,926 and 592,472 is: 1,286,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,926 : 592,472 = 592,472 : x
  2. Step 2: Convert to fraction form
    272,926/592,472 = 592,472/x
  3. Step 3: Cross multiply
    272,926x = 592,472 × 592,472
  4. Step 4: Simplify right side
    272,926x = 351,023,070,784
  5. Step 5: Solve for x
    x = 351,023,070,784/272,926
  6. Step 6: Final answer
    x = 1,286,147.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.