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Finding the Third Proportional to 234,177 and 503,856

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Solution

The third proportional to 234,177 and 503,856 is: 1,084,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,177 : 503,856 = 503,856 : x
  2. Step 2: Convert to fraction form
    234,177/503,856 = 503,856/x
  3. Step 3: Cross multiply
    234,177x = 503,856 × 503,856
  4. Step 4: Simplify right side
    234,177x = 253,870,868,736
  5. Step 5: Solve for x
    x = 253,870,868,736/234,177
  6. Step 6: Final answer
    x = 1,084,098.22

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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.