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Finding the Third Proportional to 269,966 and 590,782

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Solution

The third proportional to 269,966 and 590,782 is: 1,292,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,966 : 590,782 = 590,782 : x
  2. Step 2: Convert to fraction form
    269,966/590,782 = 590,782/x
  3. Step 3: Cross multiply
    269,966x = 590,782 × 590,782
  4. Step 4: Simplify right side
    269,966x = 349,023,371,524
  5. Step 5: Solve for x
    x = 349,023,371,524/269,966
  6. Step 6: Final answer
    x = 1,292,841.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.