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Finding the Third Proportional to 271,932 and 592,249

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Solution

The third proportional to 271,932 and 592,249 is: 1,289,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,932 : 592,249 = 592,249 : x
  2. Step 2: Convert to fraction form
    271,932/592,249 = 592,249/x
  3. Step 3: Cross multiply
    271,932x = 592,249 × 592,249
  4. Step 4: Simplify right side
    271,932x = 350,758,878,001
  5. Step 5: Solve for x
    x = 350,758,878,001/271,932
  6. Step 6: Final answer
    x = 1,289,877.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.