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Finding the Third Proportional to 272,813 and 592,849

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Solution

The third proportional to 272,813 and 592,849 is: 1,288,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,813 : 592,849 = 592,849 : x
  2. Step 2: Convert to fraction form
    272,813/592,849 = 592,849/x
  3. Step 3: Cross multiply
    272,813x = 592,849 × 592,849
  4. Step 4: Simplify right side
    272,813x = 351,469,936,801
  5. Step 5: Solve for x
    x = 351,469,936,801/272,813
  6. Step 6: Final answer
    x = 1,288,318.14

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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.