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Finding the Third Proportional to 234,971 and 503,182

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Solution

The third proportional to 234,971 and 503,182 is: 1,077,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,971 : 503,182 = 503,182 : x
  2. Step 2: Convert to fraction form
    234,971/503,182 = 503,182/x
  3. Step 3: Cross multiply
    234,971x = 503,182 × 503,182
  4. Step 4: Simplify right side
    234,971x = 253,192,125,124
  5. Step 5: Solve for x
    x = 253,192,125,124/234,971
  6. Step 6: Final answer
    x = 1,077,546.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.