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Finding the Third Proportional to 624,086.44 and 936,144.56

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Solution

The third proportional to 624,086.44 and 936,144.56 is: 1,404,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,086.44 : 936,144.56 = 936,144.56 : x
  2. Step 2: Convert to fraction form
    624,086.44/936,144.56 = 936,144.56/x
  3. Step 3: Cross multiply
    624,086.44x = 936,144.56 × 936,144.56
  4. Step 4: Simplify right side
    624,086.44x = 876,366,641,898.32
  5. Step 5: Solve for x
    x = 876,366,641,898.32/624,086.44
  6. Step 6: Final answer
    x = 1,404,239.20

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Why These Related Problems?

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