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Finding the Third Proportional to 338,399.44 and 722,476.13

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Solution

The third proportional to 338,399.44 and 722,476.13 is: 1,542,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,399.44 : 722,476.13 = 722,476.13 : x
  2. Step 2: Convert to fraction form
    338,399.44/722,476.13 = 722,476.13/x
  3. Step 3: Cross multiply
    338,399.44x = 722,476.13 × 722,476.13
  4. Step 4: Simplify right side
    338,399.44x = 521,971,751,195.02
  5. Step 5: Solve for x
    x = 521,971,751,195.02/338,399.44
  6. Step 6: Final answer
    x = 1,542,472.28

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Why These Related Problems?

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