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Finding the Third Proportional to 458,670 and 674,524

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Solution

The third proportional to 458,670 and 674,524 is: 991,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,670 : 674,524 = 674,524 : x
  2. Step 2: Convert to fraction form
    458,670/674,524 = 674,524/x
  3. Step 3: Cross multiply
    458,670x = 674,524 × 674,524
  4. Step 4: Simplify right side
    458,670x = 454,982,626,576
  5. Step 5: Solve for x
    x = 454,982,626,576/458,670
  6. Step 6: Final answer
    x = 991,960.73

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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.