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Finding the Third Proportional to 386,577.56 and 588,070.13

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Solution

The third proportional to 386,577.56 and 588,070.13 is: 894,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,577.56 : 588,070.13 = 588,070.13 : x
  2. Step 2: Convert to fraction form
    386,577.56/588,070.13 = 588,070.13/x
  3. Step 3: Cross multiply
    386,577.56x = 588,070.13 × 588,070.13
  4. Step 4: Simplify right side
    386,577.56x = 345,826,471,917.52
  5. Step 5: Solve for x
    x = 345,826,471,917.52/386,577.56
  6. Step 6: Final answer
    x = 894,584.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.