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Finding the Third Proportional to 458,892 and 674,832

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Solution

The third proportional to 458,892 and 674,832 is: 992,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,892 : 674,832 = 674,832 : x
  2. Step 2: Convert to fraction form
    458,892/674,832 = 674,832/x
  3. Step 3: Cross multiply
    458,892x = 674,832 × 674,832
  4. Step 4: Simplify right side
    458,892x = 455,398,228,224
  5. Step 5: Solve for x
    x = 455,398,228,224/458,892
  6. Step 6: Final answer
    x = 992,386.51

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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.