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Finding the Third Proportional to 251,014 and 551,849

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Solution

The third proportional to 251,014 and 551,849 is: 1,213,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,014 : 551,849 = 551,849 : x
  2. Step 2: Convert to fraction form
    251,014/551,849 = 551,849/x
  3. Step 3: Cross multiply
    251,014x = 551,849 × 551,849
  4. Step 4: Simplify right side
    251,014x = 304,537,318,801
  5. Step 5: Solve for x
    x = 304,537,318,801/251,014
  6. Step 6: Final answer
    x = 1,213,228.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.