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Finding the Third Proportional to 269,899 and 580,662

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Solution

The third proportional to 269,899 and 580,662 is: 1,249,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,899 : 580,662 = 580,662 : x
  2. Step 2: Convert to fraction form
    269,899/580,662 = 580,662/x
  3. Step 3: Cross multiply
    269,899x = 580,662 × 580,662
  4. Step 4: Simplify right side
    269,899x = 337,168,358,244
  5. Step 5: Solve for x
    x = 337,168,358,244/269,899
  6. Step 6: Final answer
    x = 1,249,239.01

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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.