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Finding the Third Proportional to 457,952 and 673,677

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Solution

The third proportional to 457,952 and 673,677 is: 991,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,952 : 673,677 = 673,677 : x
  2. Step 2: Convert to fraction form
    457,952/673,677 = 673,677/x
  3. Step 3: Cross multiply
    457,952x = 673,677 × 673,677
  4. Step 4: Simplify right side
    457,952x = 453,840,700,329
  5. Step 5: Solve for x
    x = 453,840,700,329/457,952
  6. Step 6: Final answer
    x = 991,022.42

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Why These Related Problems?

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