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Finding the Third Proportional to 273,654 and 588,060

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Solution

The third proportional to 273,654 and 588,060 is: 1,263,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,654 : 588,060 = 588,060 : x
  2. Step 2: Convert to fraction form
    273,654/588,060 = 588,060/x
  3. Step 3: Cross multiply
    273,654x = 588,060 × 588,060
  4. Step 4: Simplify right side
    273,654x = 345,814,563,600
  5. Step 5: Solve for x
    x = 345,814,563,600/273,654
  6. Step 6: Final answer
    x = 1,263,692.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.