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Finding the Third Proportional to 633,964.50 and 940,470.75

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Solution

The third proportional to 633,964.50 and 940,470.75 is: 1,395,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,964.50 : 940,470.75 = 940,470.75 : x
  2. Step 2: Convert to fraction form
    633,964.50/940,470.75 = 940,470.75/x
  3. Step 3: Cross multiply
    633,964.50x = 940,470.75 × 940,470.75
  4. Step 4: Simplify right side
    633,964.50x = 884,485,231,605.56
  5. Step 5: Solve for x
    x = 884,485,231,605.56/633,964.50
  6. Step 6: Final answer
    x = 1,395,165.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.