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Finding the Third Proportional to 386,187.75 and 807,686.44

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Solution

The third proportional to 386,187.75 and 807,686.44 is: 1,689,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,187.75 : 807,686.44 = 807,686.44 : x
  2. Step 2: Convert to fraction form
    386,187.75/807,686.44 = 807,686.44/x
  3. Step 3: Cross multiply
    386,187.75x = 807,686.44 × 807,686.44
  4. Step 4: Simplify right side
    386,187.75x = 652,357,381,321.44
  5. Step 5: Solve for x
    x = 652,357,381,321.44/386,187.75
  6. Step 6: Final answer
    x = 1,689,223.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.