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Finding the Third Proportional to 513,458.50 and 1,144,976

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Solution

The third proportional to 513,458.50 and 1,144,976 is: 2,553,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,458.50 : 1,144,976 = 1,144,976 : x
  2. Step 2: Convert to fraction form
    513,458.50/1,144,976 = 1,144,976/x
  3. Step 3: Cross multiply
    513,458.50x = 1,144,976 × 1,144,976
  4. Step 4: Simplify right side
    513,458.50x = 1,310,970,040,576
  5. Step 5: Solve for x
    x = 1,310,970,040,576/513,458.50
  6. Step 6: Final answer
    x = 2,553,215.19

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.