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Finding the Third Proportional to 252,277 and 551,906

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Solution

The third proportional to 252,277 and 551,906 is: 1,207,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,277 : 551,906 = 551,906 : x
  2. Step 2: Convert to fraction form
    252,277/551,906 = 551,906/x
  3. Step 3: Cross multiply
    252,277x = 551,906 × 551,906
  4. Step 4: Simplify right side
    252,277x = 304,600,232,836
  5. Step 5: Solve for x
    x = 304,600,232,836/252,277
  6. Step 6: Final answer
    x = 1,207,403.90

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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.