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Finding the Third Proportional to 407,419.88 and 958,726.13

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Solution

The third proportional to 407,419.88 and 958,726.13 is: 2,256,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,419.88 : 958,726.13 = 958,726.13 : x
  2. Step 2: Convert to fraction form
    407,419.88/958,726.13 = 958,726.13/x
  3. Step 3: Cross multiply
    407,419.88x = 958,726.13 × 958,726.13
  4. Step 4: Simplify right side
    407,419.88x = 919,155,782,757.52
  5. Step 5: Solve for x
    x = 919,155,782,757.52/407,419.88
  6. Step 6: Final answer
    x = 2,256,040.61

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.