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Finding the Third Proportional to 234,966 and 503,172

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Solution

The third proportional to 234,966 and 503,172 is: 1,077,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,966 : 503,172 = 503,172 : x
  2. Step 2: Convert to fraction form
    234,966/503,172 = 503,172/x
  3. Step 3: Cross multiply
    234,966x = 503,172 × 503,172
  4. Step 4: Simplify right side
    234,966x = 253,182,061,584
  5. Step 5: Solve for x
    x = 253,182,061,584/234,966
  6. Step 6: Final answer
    x = 1,077,526.37

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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.