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Finding the Third Proportional to 234,174 and 503,850

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Solution

The third proportional to 234,174 and 503,850 is: 1,084,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,174 : 503,850 = 503,850 : x
  2. Step 2: Convert to fraction form
    234,174/503,850 = 503,850/x
  3. Step 3: Cross multiply
    234,174x = 503,850 × 503,850
  4. Step 4: Simplify right side
    234,174x = 253,864,822,500
  5. Step 5: Solve for x
    x = 253,864,822,500/234,174
  6. Step 6: Final answer
    x = 1,084,086.29

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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.