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Finding the Third Proportional to 414,188.75 and 893,731.22

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Solution

The third proportional to 414,188.75 and 893,731.22 is: 1,928,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,188.75 : 893,731.22 = 893,731.22 : x
  2. Step 2: Convert to fraction form
    414,188.75/893,731.22 = 893,731.22/x
  3. Step 3: Cross multiply
    414,188.75x = 893,731.22 × 893,731.22
  4. Step 4: Simplify right side
    414,188.75x = 798,755,491,368.36
  5. Step 5: Solve for x
    x = 798,755,491,368.36/414,188.75
  6. Step 6: Final answer
    x = 1,928,481.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.