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Finding the Third Proportional to 269,865 and 592,218

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Solution

The third proportional to 269,865 and 592,218 is: 1,299,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,865 : 592,218 = 592,218 : x
  2. Step 2: Convert to fraction form
    269,865/592,218 = 592,218/x
  3. Step 3: Cross multiply
    269,865x = 592,218 × 592,218
  4. Step 4: Simplify right side
    269,865x = 350,722,159,524
  5. Step 5: Solve for x
    x = 350,722,159,524/269,865
  6. Step 6: Final answer
    x = 1,299,620.77

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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.