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Finding the Third Proportional to 272,934 and 592,487

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Solution

The third proportional to 272,934 and 592,487 is: 1,286,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,934 : 592,487 = 592,487 : x
  2. Step 2: Convert to fraction form
    272,934/592,487 = 592,487/x
  3. Step 3: Cross multiply
    272,934x = 592,487 × 592,487
  4. Step 4: Simplify right side
    272,934x = 351,040,845,169
  5. Step 5: Solve for x
    x = 351,040,845,169/272,934
  6. Step 6: Final answer
    x = 1,286,174.85

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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.