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Finding the Third Proportional to 457,950 and 673,674

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Solution

The third proportional to 457,950 and 673,674 is: 991,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,950 : 673,674 = 673,674 : x
  2. Step 2: Convert to fraction form
    457,950/673,674 = 673,674/x
  3. Step 3: Cross multiply
    457,950x = 673,674 × 673,674
  4. Step 4: Simplify right side
    457,950x = 453,836,658,276
  5. Step 5: Solve for x
    x = 453,836,658,276/457,950
  6. Step 6: Final answer
    x = 991,017.92

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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.