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Finding the Third Proportional to 269,864 and 592,216

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Solution

The third proportional to 269,864 and 592,216 is: 1,299,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,864 : 592,216 = 592,216 : x
  2. Step 2: Convert to fraction form
    269,864/592,216 = 592,216/x
  3. Step 3: Cross multiply
    269,864x = 592,216 × 592,216
  4. Step 4: Simplify right side
    269,864x = 350,719,790,656
  5. Step 5: Solve for x
    x = 350,719,790,656/269,864
  6. Step 6: Final answer
    x = 1,299,616.81

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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.