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Finding the Third Proportional to 203,952 and 448,282

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Solution

The third proportional to 203,952 and 448,282 is: 985,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,952 : 448,282 = 448,282 : x
  2. Step 2: Convert to fraction form
    203,952/448,282 = 448,282/x
  3. Step 3: Cross multiply
    203,952x = 448,282 × 448,282
  4. Step 4: Simplify right side
    203,952x = 200,956,751,524
  5. Step 5: Solve for x
    x = 200,956,751,524/203,952
  6. Step 6: Final answer
    x = 985,313.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.