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Finding the Third Proportional to 386,587.69 and 591,360.75

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Solution

The third proportional to 386,587.69 and 591,360.75 is: 904,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,587.69 : 591,360.75 = 591,360.75 : x
  2. Step 2: Convert to fraction form
    386,587.69/591,360.75 = 591,360.75/x
  3. Step 3: Cross multiply
    386,587.69x = 591,360.75 × 591,360.75
  4. Step 4: Simplify right side
    386,587.69x = 349,707,536,640.56
  5. Step 5: Solve for x
    x = 349,707,536,640.56/386,587.69
  6. Step 6: Final answer
    x = 904,600.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.