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Finding the Third Proportional to 378,836 and 588,174

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Solution

The third proportional to 378,836 and 588,174 is: 913,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,836 : 588,174 = 588,174 : x
  2. Step 2: Convert to fraction form
    378,836/588,174 = 588,174/x
  3. Step 3: Cross multiply
    378,836x = 588,174 × 588,174
  4. Step 4: Simplify right side
    378,836x = 345,948,654,276
  5. Step 5: Solve for x
    x = 345,948,654,276/378,836
  6. Step 6: Final answer
    x = 913,188.44

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Why These Related Problems?

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