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Finding the Third Proportional to 269,896 and 581,311

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Solution

The third proportional to 269,896 and 581,311 is: 1,252,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,896 : 581,311 = 581,311 : x
  2. Step 2: Convert to fraction form
    269,896/581,311 = 581,311/x
  3. Step 3: Cross multiply
    269,896x = 581,311 × 581,311
  4. Step 4: Simplify right side
    269,896x = 337,922,478,721
  5. Step 5: Solve for x
    x = 337,922,478,721/269,896
  6. Step 6: Final answer
    x = 1,252,047.01

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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.