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Finding the Third Proportional to 269,869 and 592,226

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Solution

The third proportional to 269,869 and 592,226 is: 1,299,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,869 : 592,226 = 592,226 : x
  2. Step 2: Convert to fraction form
    269,869/592,226 = 592,226/x
  3. Step 3: Cross multiply
    269,869x = 592,226 × 592,226
  4. Step 4: Simplify right side
    269,869x = 350,731,635,076
  5. Step 5: Solve for x
    x = 350,731,635,076/269,869
  6. Step 6: Final answer
    x = 1,299,636.62

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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.