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Finding the Third Proportional to 502,078.50 and 1,092,744

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Solution

The third proportional to 502,078.50 and 1,092,744 is: 2,378,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,078.50 : 1,092,744 = 1,092,744 : x
  2. Step 2: Convert to fraction form
    502,078.50/1,092,744 = 1,092,744/x
  3. Step 3: Cross multiply
    502,078.50x = 1,092,744 × 1,092,744
  4. Step 4: Simplify right side
    502,078.50x = 1,194,089,449,536
  5. Step 5: Solve for x
    x = 1,194,089,449,536/502,078.50
  6. Step 6: Final answer
    x = 2,378,292.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.