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Finding the Third Proportional to 372,154.13 and 807,321.38

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Solution

The third proportional to 372,154.13 and 807,321.38 is: 1,751,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,154.13 : 807,321.38 = 807,321.38 : x
  2. Step 2: Convert to fraction form
    372,154.13/807,321.38 = 807,321.38/x
  3. Step 3: Cross multiply
    372,154.13x = 807,321.38 × 807,321.38
  4. Step 4: Simplify right side
    372,154.13x = 651,767,802,531.89
  5. Step 5: Solve for x
    x = 651,767,802,531.89/372,154.13
  6. Step 6: Final answer
    x = 1,751,338.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.