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Finding the Third Proportional to 378,840 and 588,180

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Solution

The third proportional to 378,840 and 588,180 is: 913,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,840 : 588,180 = 588,180 : x
  2. Step 2: Convert to fraction form
    378,840/588,180 = 588,180/x
  3. Step 3: Cross multiply
    378,840x = 588,180 × 588,180
  4. Step 4: Simplify right side
    378,840x = 345,955,712,400
  5. Step 5: Solve for x
    x = 345,955,712,400/378,840
  6. Step 6: Final answer
    x = 913,197.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.