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Finding the Third Proportional to 234,204.19 and 503,930.25

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Solution

The third proportional to 234,204.19 and 503,930.25 is: 1,084,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,204.19 : 503,930.25 = 503,930.25 : x
  2. Step 2: Convert to fraction form
    234,204.19/503,930.25 = 503,930.25/x
  3. Step 3: Cross multiply
    234,204.19x = 503,930.25 × 503,930.25
  4. Step 4: Simplify right side
    234,204.19x = 253,945,696,865.06
  5. Step 5: Solve for x
    x = 253,945,696,865.06/234,204.19
  6. Step 6: Final answer
    x = 1,084,291.87

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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.