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Finding the Third Proportional to 331,701.75 and 497,031.19

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Solution

The third proportional to 331,701.75 and 497,031.19 is: 744,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,701.75 : 497,031.19 = 497,031.19 : x
  2. Step 2: Convert to fraction form
    331,701.75/497,031.19 = 497,031.19/x
  3. Step 3: Cross multiply
    331,701.75x = 497,031.19 × 497,031.19
  4. Step 4: Simplify right side
    331,701.75x = 247,040,001,347.66
  5. Step 5: Solve for x
    x = 247,040,001,347.66/331,701.75
  6. Step 6: Final answer
    x = 744,765.44

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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.