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Finding the Third Proportional to 247,665 and 382,659

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Solution

The third proportional to 247,665 and 382,659 is: 591,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,665 : 382,659 = 382,659 : x
  2. Step 2: Convert to fraction form
    247,665/382,659 = 382,659/x
  3. Step 3: Cross multiply
    247,665x = 382,659 × 382,659
  4. Step 4: Simplify right side
    247,665x = 146,427,910,281
  5. Step 5: Solve for x
    x = 146,427,910,281/247,665
  6. Step 6: Final answer
    x = 591,233.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.