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Finding the Third Proportional to 337,911.75 and 472,422.38

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Solution

The third proportional to 337,911.75 and 472,422.38 is: 660,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,911.75 : 472,422.38 = 472,422.38 : x
  2. Step 2: Convert to fraction form
    337,911.75/472,422.38 = 472,422.38/x
  3. Step 3: Cross multiply
    337,911.75x = 472,422.38 × 472,422.38
  4. Step 4: Simplify right side
    337,911.75x = 223,182,900,400.64
  5. Step 5: Solve for x
    x = 223,182,900,400.64/337,911.75
  6. Step 6: Final answer
    x = 660,476.89

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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.