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Finding the Third Proportional to 272,920 and 592,227

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Solution

The third proportional to 272,920 and 592,227 is: 1,285,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,920 : 592,227 = 592,227 : x
  2. Step 2: Convert to fraction form
    272,920/592,227 = 592,227/x
  3. Step 3: Cross multiply
    272,920x = 592,227 × 592,227
  4. Step 4: Simplify right side
    272,920x = 350,732,819,529
  5. Step 5: Solve for x
    x = 350,732,819,529/272,920
  6. Step 6: Final answer
    x = 1,285,112.19

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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.