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Finding the Third Proportional to 379,800 and 588,060

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Solution

The third proportional to 379,800 and 588,060 is: 910,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,800 : 588,060 = 588,060 : x
  2. Step 2: Convert to fraction form
    379,800/588,060 = 588,060/x
  3. Step 3: Cross multiply
    379,800x = 588,060 × 588,060
  4. Step 4: Simplify right side
    379,800x = 345,814,563,600
  5. Step 5: Solve for x
    x = 345,814,563,600/379,800
  6. Step 6: Final answer
    x = 910,517.55

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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.