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Finding the Third Proportional to 458,662.50 and 674,511

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Solution

The third proportional to 458,662.50 and 674,511 is: 991,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,662.50 : 674,511 = 674,511 : x
  2. Step 2: Convert to fraction form
    458,662.50/674,511 = 674,511/x
  3. Step 3: Cross multiply
    458,662.50x = 674,511 × 674,511
  4. Step 4: Simplify right side
    458,662.50x = 454,965,089,121
  5. Step 5: Solve for x
    x = 454,965,089,121/458,662.50
  6. Step 6: Final answer
    x = 991,938.71

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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.