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Finding the Third Proportional to 330,112.13 and 703,824.19

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Solution

The third proportional to 330,112.13 and 703,824.19 is: 1,500,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,112.13 : 703,824.19 = 703,824.19 : x
  2. Step 2: Convert to fraction form
    330,112.13/703,824.19 = 703,824.19/x
  3. Step 3: Cross multiply
    330,112.13x = 703,824.19 × 703,824.19
  4. Step 4: Simplify right side
    330,112.13x = 495,368,486,910.04
  5. Step 5: Solve for x
    x = 495,368,486,910.04/330,112.13
  6. Step 6: Final answer
    x = 1,500,606.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.