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Finding the Third Proportional to 247,666 and 382,660

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Solution

The third proportional to 247,666 and 382,660 is: 591,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,666 : 382,660 = 382,660 : x
  2. Step 2: Convert to fraction form
    247,666/382,660 = 382,660/x
  3. Step 3: Cross multiply
    247,666x = 382,660 × 382,660
  4. Step 4: Simplify right side
    247,666x = 146,428,675,600
  5. Step 5: Solve for x
    x = 146,428,675,600/247,666
  6. Step 6: Final answer
    x = 591,234.47

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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.