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Finding the Third Proportional to 269,838 and 592,164

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Solution

The third proportional to 269,838 and 592,164 is: 1,299,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,838 : 592,164 = 592,164 : x
  2. Step 2: Convert to fraction form
    269,838/592,164 = 592,164/x
  3. Step 3: Cross multiply
    269,838x = 592,164 × 592,164
  4. Step 4: Simplify right side
    269,838x = 350,658,202,896
  5. Step 5: Solve for x
    x = 350,658,202,896/269,838
  6. Step 6: Final answer
    x = 1,299,513.79

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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.