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Finding the Third Proportional to 293,556.20 and 454,538.48

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Solution

The third proportional to 293,556.20 and 454,538.48 is: 703,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,556.20 : 454,538.48 = 454,538.48 : x
  2. Step 2: Convert to fraction form
    293,556.20/454,538.48 = 454,538.48/x
  3. Step 3: Cross multiply
    293,556.20x = 454,538.48 × 454,538.48
  4. Step 4: Simplify right side
    293,556.20x = 206,605,228,451.30
  5. Step 5: Solve for x
    x = 206,605,228,451.30/293,556.20
  6. Step 6: Final answer
    x = 703,801.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.