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Finding the Third Proportional to 266,878 and 586,244

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Solution

The third proportional to 266,878 and 586,244 is: 1,287,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,878 : 586,244 = 586,244 : x
  2. Step 2: Convert to fraction form
    266,878/586,244 = 586,244/x
  3. Step 3: Cross multiply
    266,878x = 586,244 × 586,244
  4. Step 4: Simplify right side
    266,878x = 343,682,027,536
  5. Step 5: Solve for x
    x = 343,682,027,536/266,878
  6. Step 6: Final answer
    x = 1,287,787.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.