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Finding the Third Proportional to 202,264 and 440,820

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Solution

The third proportional to 202,264 and 440,820 is: 960,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,264 : 440,820 = 440,820 : x
  2. Step 2: Convert to fraction form
    202,264/440,820 = 440,820/x
  3. Step 3: Cross multiply
    202,264x = 440,820 × 440,820
  4. Step 4: Simplify right side
    202,264x = 194,322,272,400
  5. Step 5: Solve for x
    x = 194,322,272,400/202,264
  6. Step 6: Final answer
    x = 960,735.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.