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Finding the Third Proportional to 371,023.88 and 813,057.75

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Solution

The third proportional to 371,023.88 and 813,057.75 is: 1,781,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,023.88 : 813,057.75 = 813,057.75 : x
  2. Step 2: Convert to fraction form
    371,023.88/813,057.75 = 813,057.75/x
  3. Step 3: Cross multiply
    371,023.88x = 813,057.75 × 813,057.75
  4. Step 4: Simplify right side
    371,023.88x = 661,062,904,835.06
  5. Step 5: Solve for x
    x = 661,062,904,835.06/371,023.88
  6. Step 6: Final answer
    x = 1,781,726.05

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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.