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Finding the Third Proportional to 202,474 and 439,900

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Solution

The third proportional to 202,474 and 439,900 is: 955,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,474 : 439,900 = 439,900 : x
  2. Step 2: Convert to fraction form
    202,474/439,900 = 439,900/x
  3. Step 3: Cross multiply
    202,474x = 439,900 × 439,900
  4. Step 4: Simplify right side
    202,474x = 193,512,010,000
  5. Step 5: Solve for x
    x = 193,512,010,000/202,474
  6. Step 6: Final answer
    x = 955,737.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.