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Finding the Third Proportional to 202,376 and 440,424

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Solution

The third proportional to 202,376 and 440,424 is: 958,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,376 : 440,424 = 440,424 : x
  2. Step 2: Convert to fraction form
    202,376/440,424 = 440,424/x
  3. Step 3: Cross multiply
    202,376x = 440,424 × 440,424
  4. Step 4: Simplify right side
    202,376x = 193,973,299,776
  5. Step 5: Solve for x
    x = 193,973,299,776/202,376
  6. Step 6: Final answer
    x = 958,479.76

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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.