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Finding the Third Proportional to 338,797.69 and 495,468.56

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Solution

The third proportional to 338,797.69 and 495,468.56 is: 724,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,797.69 : 495,468.56 = 495,468.56 : x
  2. Step 2: Convert to fraction form
    338,797.69/495,468.56 = 495,468.56/x
  3. Step 3: Cross multiply
    338,797.69x = 495,468.56 × 495,468.56
  4. Step 4: Simplify right side
    338,797.69x = 245,489,096,425.82
  5. Step 5: Solve for x
    x = 245,489,096,425.82/338,797.69
  6. Step 6: Final answer
    x = 724,589.06

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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.