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Finding the Third Proportional to 252,204 and 551,778

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Solution

The third proportional to 252,204 and 551,778 is: 1,207,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,204 : 551,778 = 551,778 : x
  2. Step 2: Convert to fraction form
    252,204/551,778 = 551,778/x
  3. Step 3: Cross multiply
    252,204x = 551,778 × 551,778
  4. Step 4: Simplify right side
    252,204x = 304,458,961,284
  5. Step 5: Solve for x
    x = 304,458,961,284/252,204
  6. Step 6: Final answer
    x = 1,207,193.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.