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Finding the Third Proportional to 269,825 and 592,138

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Solution

The third proportional to 269,825 and 592,138 is: 1,299,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,825 : 592,138 = 592,138 : x
  2. Step 2: Convert to fraction form
    269,825/592,138 = 592,138/x
  3. Step 3: Cross multiply
    269,825x = 592,138 × 592,138
  4. Step 4: Simplify right side
    269,825x = 350,627,411,044
  5. Step 5: Solve for x
    x = 350,627,411,044/269,825
  6. Step 6: Final answer
    x = 1,299,462.28

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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.