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Finding the Third Proportional to 202,366 and 440,431

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Solution

The third proportional to 202,366 and 440,431 is: 958,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,366 : 440,431 = 440,431 : x
  2. Step 2: Convert to fraction form
    202,366/440,431 = 440,431/x
  3. Step 3: Cross multiply
    202,366x = 440,431 × 440,431
  4. Step 4: Simplify right side
    202,366x = 193,979,465,761
  5. Step 5: Solve for x
    x = 193,979,465,761/202,366
  6. Step 6: Final answer
    x = 958,557.59

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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.