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Finding the Third Proportional to 386,396 and 591,068

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Solution

The third proportional to 386,396 and 591,068 is: 904,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,396 : 591,068 = 591,068 : x
  2. Step 2: Convert to fraction form
    386,396/591,068 = 591,068/x
  3. Step 3: Cross multiply
    386,396x = 591,068 × 591,068
  4. Step 4: Simplify right side
    386,396x = 349,361,380,624
  5. Step 5: Solve for x
    x = 349,361,380,624/386,396
  6. Step 6: Final answer
    x = 904,153.72

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Why These Related Problems?

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