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Finding the Third Proportional to 203,952 and 447,300

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Solution

The third proportional to 203,952 and 447,300 is: 981,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,952 : 447,300 = 447,300 : x
  2. Step 2: Convert to fraction form
    203,952/447,300 = 447,300/x
  3. Step 3: Cross multiply
    203,952x = 447,300 × 447,300
  4. Step 4: Simplify right side
    203,952x = 200,077,290,000
  5. Step 5: Solve for x
    x = 200,077,290,000/203,952
  6. Step 6: Final answer
    x = 981,001.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.