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Finding the Third Proportional to 331,708 and 497,041

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Solution

The third proportional to 331,708 and 497,041 is: 744,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,708 : 497,041 = 497,041 : x
  2. Step 2: Convert to fraction form
    331,708/497,041 = 497,041/x
  3. Step 3: Cross multiply
    331,708x = 497,041 × 497,041
  4. Step 4: Simplify right side
    331,708x = 247,049,755,681
  5. Step 5: Solve for x
    x = 247,049,755,681/331,708
  6. Step 6: Final answer
    x = 744,780.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.