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Finding the Third Proportional to 252,732 and 551,775

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Solution

The third proportional to 252,732 and 551,775 is: 1,204,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,732 : 551,775 = 551,775 : x
  2. Step 2: Convert to fraction form
    252,732/551,775 = 551,775/x
  3. Step 3: Cross multiply
    252,732x = 551,775 × 551,775
  4. Step 4: Simplify right side
    252,732x = 304,455,650,625
  5. Step 5: Solve for x
    x = 304,455,650,625/252,732
  6. Step 6: Final answer
    x = 1,204,658.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.