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Finding the Third Proportional to 247,668 and 382,663

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Solution

The third proportional to 247,668 and 382,663 is: 591,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,668 : 382,663 = 382,663 : x
  2. Step 2: Convert to fraction form
    247,668/382,663 = 382,663/x
  3. Step 3: Cross multiply
    247,668x = 382,663 × 382,663
  4. Step 4: Simplify right side
    247,668x = 146,430,971,569
  5. Step 5: Solve for x
    x = 146,430,971,569/247,668
  6. Step 6: Final answer
    x = 591,238.96

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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.