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Finding the Third Proportional to 424,219.50 and 914,857.50

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Solution

The third proportional to 424,219.50 and 914,857.50 is: 1,972,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,219.50 : 914,857.50 = 914,857.50 : x
  2. Step 2: Convert to fraction form
    424,219.50/914,857.50 = 914,857.50/x
  3. Step 3: Cross multiply
    424,219.50x = 914,857.50 × 914,857.50
  4. Step 4: Simplify right side
    424,219.50x = 836,964,245,306.25
  5. Step 5: Solve for x
    x = 836,964,245,306.25/424,219.50
  6. Step 6: Final answer
    x = 1,972,950.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.