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Finding the Third Proportional to 458,613 and 674,430.75

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Solution

The third proportional to 458,613 and 674,430.75 is: 991,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,613 : 674,430.75 = 674,430.75 : x
  2. Step 2: Convert to fraction form
    458,613/674,430.75 = 674,430.75/x
  3. Step 3: Cross multiply
    458,613x = 674,430.75 × 674,430.75
  4. Step 4: Simplify right side
    458,613x = 454,856,836,545.56
  5. Step 5: Solve for x
    x = 454,856,836,545.56/458,613
  6. Step 6: Final answer
    x = 991,809.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.