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Finding the Third Proportional to 338,418 and 722,509.88

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Solution

The third proportional to 338,418 and 722,509.88 is: 1,542,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,418 : 722,509.88 = 722,509.88 : x
  2. Step 2: Convert to fraction form
    338,418/722,509.88 = 722,509.88/x
  3. Step 3: Cross multiply
    338,418x = 722,509.88 × 722,509.88
  4. Step 4: Simplify right side
    338,418x = 522,020,519,472.52
  5. Step 5: Solve for x
    x = 522,020,519,472.52/338,418
  6. Step 6: Final answer
    x = 1,542,531.78

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