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Finding the Third Proportional to 458,665 and 674,514

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Solution

The third proportional to 458,665 and 674,514 is: 991,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,665 : 674,514 = 674,514 : x
  2. Step 2: Convert to fraction form
    458,665/674,514 = 674,514/x
  3. Step 3: Cross multiply
    458,665x = 674,514 × 674,514
  4. Step 4: Simplify right side
    458,665x = 454,969,136,196
  5. Step 5: Solve for x
    x = 454,969,136,196/458,665
  6. Step 6: Final answer
    x = 991,942.13

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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.