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Finding the Third Proportional to 275,959 and 404,851

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Solution

The third proportional to 275,959 and 404,851 is: 593,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,959 : 404,851 = 404,851 : x
  2. Step 2: Convert to fraction form
    275,959/404,851 = 404,851/x
  3. Step 3: Cross multiply
    275,959x = 404,851 × 404,851
  4. Step 4: Simplify right side
    275,959x = 163,904,332,201
  5. Step 5: Solve for x
    x = 163,904,332,201/275,959
  6. Step 6: Final answer
    x = 593,944.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.