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Finding the Third Proportional to 364,245 and 551,451

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Solution

The third proportional to 364,245 and 551,451 is: 834,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,245 : 551,451 = 551,451 : x
  2. Step 2: Convert to fraction form
    364,245/551,451 = 551,451/x
  3. Step 3: Cross multiply
    364,245x = 551,451 × 551,451
  4. Step 4: Simplify right side
    364,245x = 304,098,205,401
  5. Step 5: Solve for x
    x = 304,098,205,401/364,245
  6. Step 6: Final answer
    x = 834,872.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.