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Finding the Third Proportional to 269,875 and 592,238

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Solution

The third proportional to 269,875 and 592,238 is: 1,299,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,875 : 592,238 = 592,238 : x
  2. Step 2: Convert to fraction form
    269,875/592,238 = 592,238/x
  3. Step 3: Cross multiply
    269,875x = 592,238 × 592,238
  4. Step 4: Simplify right side
    269,875x = 350,745,848,644
  5. Step 5: Solve for x
    x = 350,745,848,644/269,875
  6. Step 6: Final answer
    x = 1,299,660.39

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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.