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Finding the Third Proportional to 269,881 and 592,250

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Solution

The third proportional to 269,881 and 592,250 is: 1,299,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,881 : 592,250 = 592,250 : x
  2. Step 2: Convert to fraction form
    269,881/592,250 = 592,250/x
  3. Step 3: Cross multiply
    269,881x = 592,250 × 592,250
  4. Step 4: Simplify right side
    269,881x = 350,760,062,500
  5. Step 5: Solve for x
    x = 350,760,062,500/269,881
  6. Step 6: Final answer
    x = 1,299,684.17

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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.