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Finding the Third Proportional to 252,317 and 551,074

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Solution

The third proportional to 252,317 and 551,074 is: 1,203,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,317 : 551,074 = 551,074 : x
  2. Step 2: Convert to fraction form
    252,317/551,074 = 551,074/x
  3. Step 3: Cross multiply
    252,317x = 551,074 × 551,074
  4. Step 4: Simplify right side
    252,317x = 303,682,553,476
  5. Step 5: Solve for x
    x = 303,682,553,476/252,317
  6. Step 6: Final answer
    x = 1,203,575.48

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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.