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Finding the Third Proportional to 367,474 and 551,213

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Solution

The third proportional to 367,474 and 551,213 is: 826,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,474 : 551,213 = 551,213 : x
  2. Step 2: Convert to fraction form
    367,474/551,213 = 551,213/x
  3. Step 3: Cross multiply
    367,474x = 551,213 × 551,213
  4. Step 4: Simplify right side
    367,474x = 303,835,771,369
  5. Step 5: Solve for x
    x = 303,835,771,369/367,474
  6. Step 6: Final answer
    x = 826,822.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.