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Finding the Third Proportional to 458,663 and 674,513

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Solution

The third proportional to 458,663 and 674,513 is: 991,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,663 : 674,513 = 674,513 : x
  2. Step 2: Convert to fraction form
    458,663/674,513 = 674,513/x
  3. Step 3: Cross multiply
    458,663x = 674,513 × 674,513
  4. Step 4: Simplify right side
    458,663x = 454,967,787,169
  5. Step 5: Solve for x
    x = 454,967,787,169/458,663
  6. Step 6: Final answer
    x = 991,943.51

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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.