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Finding the Third Proportional to 272,702 and 636,919

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Solution

The third proportional to 272,702 and 636,919 is: 1,487,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,702 : 636,919 = 636,919 : x
  2. Step 2: Convert to fraction form
    272,702/636,919 = 636,919/x
  3. Step 3: Cross multiply
    272,702x = 636,919 × 636,919
  4. Step 4: Simplify right side
    272,702x = 405,665,812,561
  5. Step 5: Solve for x
    x = 405,665,812,561/272,702
  6. Step 6: Final answer
    x = 1,487,579.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.