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Finding the Third Proportional to 363,112.88 and 742,263.75

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Solution

The third proportional to 363,112.88 and 742,263.75 is: 1,517,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,112.88 : 742,263.75 = 742,263.75 : x
  2. Step 2: Convert to fraction form
    363,112.88/742,263.75 = 742,263.75/x
  3. Step 3: Cross multiply
    363,112.88x = 742,263.75 × 742,263.75
  4. Step 4: Simplify right side
    363,112.88x = 550,955,474,564.06
  5. Step 5: Solve for x
    x = 550,955,474,564.06/363,112.88
  6. Step 6: Final answer
    x = 1,517,311.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.