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Finding the Third Proportional to 382,266 and 534,663

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Solution

The third proportional to 382,266 and 534,663 is: 747,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,266 : 534,663 = 534,663 : x
  2. Step 2: Convert to fraction form
    382,266/534,663 = 534,663/x
  3. Step 3: Cross multiply
    382,266x = 534,663 × 534,663
  4. Step 4: Simplify right side
    382,266x = 285,864,523,569
  5. Step 5: Solve for x
    x = 285,864,523,569/382,266
  6. Step 6: Final answer
    x = 747,815.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.