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Finding the Third Proportional to 457,171.50 and 672,498

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Solution

The third proportional to 457,171.50 and 672,498 is: 989,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,171.50 : 672,498 = 672,498 : x
  2. Step 2: Convert to fraction form
    457,171.50/672,498 = 672,498/x
  3. Step 3: Cross multiply
    457,171.50x = 672,498 × 672,498
  4. Step 4: Simplify right side
    457,171.50x = 452,253,560,004
  5. Step 5: Solve for x
    x = 452,253,560,004/457,171.50
  6. Step 6: Final answer
    x = 989,242.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.