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Finding the Third Proportional to 338,716.13 and 495,358.13

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Solution

The third proportional to 338,716.13 and 495,358.13 is: 724,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,716.13 : 495,358.13 = 495,358.13 : x
  2. Step 2: Convert to fraction form
    338,716.13/495,358.13 = 495,358.13/x
  3. Step 3: Cross multiply
    338,716.13x = 495,358.13 × 495,358.13
  4. Step 4: Simplify right side
    338,716.13x = 245,379,672,003.52
  5. Step 5: Solve for x
    x = 245,379,672,003.52/338,716.13
  6. Step 6: Final answer
    x = 724,440.48

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