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Finding the Third Proportional to 269,823 and 592,134

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Solution

The third proportional to 269,823 and 592,134 is: 1,299,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,823 : 592,134 = 592,134 : x
  2. Step 2: Convert to fraction form
    269,823/592,134 = 592,134/x
  3. Step 3: Cross multiply
    269,823x = 592,134 × 592,134
  4. Step 4: Simplify right side
    269,823x = 350,622,673,956
  5. Step 5: Solve for x
    x = 350,622,673,956/269,823
  6. Step 6: Final answer
    x = 1,299,454.36

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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.