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Finding the Third Proportional to 378,846 and 588,190

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Solution

The third proportional to 378,846 and 588,190 is: 913,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,846 : 588,190 = 588,190 : x
  2. Step 2: Convert to fraction form
    378,846/588,190 = 588,190/x
  3. Step 3: Cross multiply
    378,846x = 588,190 × 588,190
  4. Step 4: Simplify right side
    378,846x = 345,967,476,100
  5. Step 5: Solve for x
    x = 345,967,476,100/378,846
  6. Step 6: Final answer
    x = 913,214.01

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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.