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Finding the Third Proportional to 269,877 and 592,242

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Solution

The third proportional to 269,877 and 592,242 is: 1,299,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,877 : 592,242 = 592,242 : x
  2. Step 2: Convert to fraction form
    269,877/592,242 = 592,242/x
  3. Step 3: Cross multiply
    269,877x = 592,242 × 592,242
  4. Step 4: Simplify right side
    269,877x = 350,750,586,564
  5. Step 5: Solve for x
    x = 350,750,586,564/269,877
  6. Step 6: Final answer
    x = 1,299,668.32

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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.