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Finding the Third Proportional to 421,267.50 and 913,470.75

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Solution

The third proportional to 421,267.50 and 913,470.75 is: 1,980,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,267.50 : 913,470.75 = 913,470.75 : x
  2. Step 2: Convert to fraction form
    421,267.50/913,470.75 = 913,470.75/x
  3. Step 3: Cross multiply
    421,267.50x = 913,470.75 × 913,470.75
  4. Step 4: Simplify right side
    421,267.50x = 834,428,811,105.56
  5. Step 5: Solve for x
    x = 834,428,811,105.56/421,267.50
  6. Step 6: Final answer
    x = 1,980,757.62

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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.