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Finding the Third Proportional to 451,372.50 and 980,505

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Solution

The third proportional to 451,372.50 and 980,505 is: 2,129,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,372.50 : 980,505 = 980,505 : x
  2. Step 2: Convert to fraction form
    451,372.50/980,505 = 980,505/x
  3. Step 3: Cross multiply
    451,372.50x = 980,505 × 980,505
  4. Step 4: Simplify right side
    451,372.50x = 961,390,055,025
  5. Step 5: Solve for x
    x = 961,390,055,025/451,372.50
  6. Step 6: Final answer
    x = 2,129,926.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.