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Finding the Third Proportional to 420,754.50 and 631,077.75

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Solution

The third proportional to 420,754.50 and 631,077.75 is: 946,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,754.50 : 631,077.75 = 631,077.75 : x
  2. Step 2: Convert to fraction form
    420,754.50/631,077.75 = 631,077.75/x
  3. Step 3: Cross multiply
    420,754.50x = 631,077.75 × 631,077.75
  4. Step 4: Simplify right side
    420,754.50x = 398,259,126,545.06
  5. Step 5: Solve for x
    x = 398,259,126,545.06/420,754.50
  6. Step 6: Final answer
    x = 946,535.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.