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Finding the Third Proportional to 458,659.13 and 674,507.25

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Solution

The third proportional to 458,659.13 and 674,507.25 is: 991,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,659.13 : 674,507.25 = 674,507.25 : x
  2. Step 2: Convert to fraction form
    458,659.13/674,507.25 = 674,507.25/x
  3. Step 3: Cross multiply
    458,659.13x = 674,507.25 × 674,507.25
  4. Step 4: Simplify right side
    458,659.13x = 454,960,030,302.56
  5. Step 5: Solve for x
    x = 454,960,030,302.56/458,659.13
  6. Step 6: Final answer
    x = 991,934.98

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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.