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Finding the Third Proportional to 414,940.50 and 626,221.13

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Solution

The third proportional to 414,940.50 and 626,221.13 is: 945,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,940.50 : 626,221.13 = 626,221.13 : x
  2. Step 2: Convert to fraction form
    414,940.50/626,221.13 = 626,221.13/x
  3. Step 3: Cross multiply
    414,940.50x = 626,221.13 × 626,221.13
  4. Step 4: Simplify right side
    414,940.50x = 392,152,897,396.27
  5. Step 5: Solve for x
    x = 392,152,897,396.27/414,940.50
  6. Step 6: Final answer
    x = 945,082.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.