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Finding the Third Proportional to 398,759.34 and 875,019.66

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Solution

The third proportional to 398,759.34 and 875,019.66 is: 1,920,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,759.34 : 875,019.66 = 875,019.66 : x
  2. Step 2: Convert to fraction form
    398,759.34/875,019.66 = 875,019.66/x
  3. Step 3: Cross multiply
    398,759.34x = 875,019.66 × 875,019.66
  4. Step 4: Simplify right side
    398,759.34x = 765,659,398,823.87
  5. Step 5: Solve for x
    x = 765,659,398,823.87/398,759.34
  6. Step 6: Final answer
    x = 1,920,103.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.