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Finding the Third Proportional to 301,276.13 and 413,121.38

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Solution

The third proportional to 301,276.13 and 413,121.38 is: 566,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,276.13 : 413,121.38 = 413,121.38 : x
  2. Step 2: Convert to fraction form
    301,276.13/413,121.38 = 413,121.38/x
  3. Step 3: Cross multiply
    301,276.13x = 413,121.38 × 413,121.38
  4. Step 4: Simplify right side
    301,276.13x = 170,669,270,481.89
  5. Step 5: Solve for x
    x = 170,669,270,481.89/301,276.13
  6. Step 6: Final answer
    x = 566,487.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.