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Finding the Third Proportional to 204,544 and 437,518

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Solution

The third proportional to 204,544 and 437,518 is: 935,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,544 : 437,518 = 437,518 : x
  2. Step 2: Convert to fraction form
    204,544/437,518 = 437,518/x
  3. Step 3: Cross multiply
    204,544x = 437,518 × 437,518
  4. Step 4: Simplify right side
    204,544x = 191,422,000,324
  5. Step 5: Solve for x
    x = 191,422,000,324/204,544
  6. Step 6: Final answer
    x = 935,847.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.