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Finding the Third Proportional to 293,556.16 and 454,538.42

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Solution

The third proportional to 293,556.16 and 454,538.42 is: 703,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,556.16 : 454,538.42 = 454,538.42 : x
  2. Step 2: Convert to fraction form
    293,556.16/454,538.42 = 454,538.42/x
  3. Step 3: Cross multiply
    293,556.16x = 454,538.42 × 454,538.42
  4. Step 4: Simplify right side
    293,556.16x = 206,605,174,901.58
  5. Step 5: Solve for x
    x = 206,605,174,901.58/293,556.16
  6. Step 6: Final answer
    x = 703,801.20

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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.