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Finding the Third Proportional to 386,775.75 and 914,512.13

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Solution

The third proportional to 386,775.75 and 914,512.13 is: 2,162,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,775.75 : 914,512.13 = 914,512.13 : x
  2. Step 2: Convert to fraction form
    386,775.75/914,512.13 = 914,512.13/x
  3. Step 3: Cross multiply
    386,775.75x = 914,512.13 × 914,512.13
  4. Step 4: Simplify right side
    386,775.75x = 836,332,426,772.02
  5. Step 5: Solve for x
    x = 836,332,426,772.02/386,775.75
  6. Step 6: Final answer
    x = 2,162,318.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.