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Finding the Third Proportional to 266,187 and 580,548

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Solution

The third proportional to 266,187 and 580,548 is: 1,266,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,187 : 580,548 = 580,548 : x
  2. Step 2: Convert to fraction form
    266,187/580,548 = 580,548/x
  3. Step 3: Cross multiply
    266,187x = 580,548 × 580,548
  4. Step 4: Simplify right side
    266,187x = 337,035,980,304
  5. Step 5: Solve for x
    x = 337,035,980,304/266,187
  6. Step 6: Final answer
    x = 1,266,162.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.