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Finding the Third Proportional to 414,517.50 and 633,804.75

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Solution

The third proportional to 414,517.50 and 633,804.75 is: 969,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,517.50 : 633,804.75 = 633,804.75 : x
  2. Step 2: Convert to fraction form
    414,517.50/633,804.75 = 633,804.75/x
  3. Step 3: Cross multiply
    414,517.50x = 633,804.75 × 633,804.75
  4. Step 4: Simplify right side
    414,517.50x = 401,708,461,122.56
  5. Step 5: Solve for x
    x = 401,708,461,122.56/414,517.50
  6. Step 6: Final answer
    x = 969,098.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.