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Finding the Third Proportional to 234,122 and 503,754

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Solution

The third proportional to 234,122 and 503,754 is: 1,083,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,122 : 503,754 = 503,754 : x
  2. Step 2: Convert to fraction form
    234,122/503,754 = 503,754/x
  3. Step 3: Cross multiply
    234,122x = 503,754 × 503,754
  4. Step 4: Simplify right side
    234,122x = 253,768,092,516
  5. Step 5: Solve for x
    x = 253,768,092,516/234,122
  6. Step 6: Final answer
    x = 1,083,913.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.