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Finding the Third Proportional to 458,744 and 674,592

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Solution

The third proportional to 458,744 and 674,592 is: 992,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,744 : 674,592 = 674,592 : x
  2. Step 2: Convert to fraction form
    458,744/674,592 = 674,592/x
  3. Step 3: Cross multiply
    458,744x = 674,592 × 674,592
  4. Step 4: Simplify right side
    458,744x = 455,074,366,464
  5. Step 5: Solve for x
    x = 455,074,366,464/458,744
  6. Step 6: Final answer
    x = 992,000.69

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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.