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Finding the Third Proportional to 398,847.38 and 875,188.13

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Solution

The third proportional to 398,847.38 and 875,188.13 is: 1,920,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,847.38 : 875,188.13 = 875,188.13 : x
  2. Step 2: Convert to fraction form
    398,847.38/875,188.13 = 875,188.13/x
  3. Step 3: Cross multiply
    398,847.38x = 875,188.13 × 875,188.13
  4. Step 4: Simplify right side
    398,847.38x = 765,954,254,141.02
  5. Step 5: Solve for x
    x = 765,954,254,141.02/398,847.38
  6. Step 6: Final answer
    x = 1,920,419.44

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Why These Related Problems?

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