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Finding the Third Proportional to 204,550 and 437,532

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Solution

The third proportional to 204,550 and 437,532 is: 935,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,550 : 437,532 = 437,532 : x
  2. Step 2: Convert to fraction form
    204,550/437,532 = 437,532/x
  3. Step 3: Cross multiply
    204,550x = 437,532 × 437,532
  4. Step 4: Simplify right side
    204,550x = 191,434,251,024
  5. Step 5: Solve for x
    x = 191,434,251,024/204,550
  6. Step 6: Final answer
    x = 935,879.99

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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.