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Finding the Third Proportional to 266,190 and 580,554

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Solution

The third proportional to 266,190 and 580,554 is: 1,266,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,190 : 580,554 = 580,554 : x
  2. Step 2: Convert to fraction form
    266,190/580,554 = 580,554/x
  3. Step 3: Cross multiply
    266,190x = 580,554 × 580,554
  4. Step 4: Simplify right side
    266,190x = 337,042,946,916
  5. Step 5: Solve for x
    x = 337,042,946,916/266,190
  6. Step 6: Final answer
    x = 1,266,174.34

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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.