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Finding the Third Proportional to 386,394 and 591,096

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Solution

The third proportional to 386,394 and 591,096 is: 904,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,394 : 591,096 = 591,096 : x
  2. Step 2: Convert to fraction form
    386,394/591,096 = 591,096/x
  3. Step 3: Cross multiply
    386,394x = 591,096 × 591,096
  4. Step 4: Simplify right side
    386,394x = 349,394,481,216
  5. Step 5: Solve for x
    x = 349,394,481,216/386,394
  6. Step 6: Final answer
    x = 904,244.06

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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.