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Finding the Third Proportional to 472,540.50 and 726,306.75

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Solution

The third proportional to 472,540.50 and 726,306.75 is: 1,116,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,540.50 : 726,306.75 = 726,306.75 : x
  2. Step 2: Convert to fraction form
    472,540.50/726,306.75 = 726,306.75/x
  3. Step 3: Cross multiply
    472,540.50x = 726,306.75 × 726,306.75
  4. Step 4: Simplify right side
    472,540.50x = 527,521,495,095.56
  5. Step 5: Solve for x
    x = 527,521,495,095.56/472,540.50
  6. Step 6: Final answer
    x = 1,116,351.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.