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Finding the Third Proportional to 338,713.31 and 495,352.13

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Solution

The third proportional to 338,713.31 and 495,352.13 is: 724,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,713.31 : 495,352.13 = 495,352.13 : x
  2. Step 2: Convert to fraction form
    338,713.31/495,352.13 = 495,352.13/x
  3. Step 3: Cross multiply
    338,713.31x = 495,352.13 × 495,352.13
  4. Step 4: Simplify right side
    338,713.31x = 245,373,727,742.02
  5. Step 5: Solve for x
    x = 245,373,727,742.02/338,713.31
  6. Step 6: Final answer
    x = 724,428.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.