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Finding the Third Proportional to 655.13 and 1,053.56

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Solution

The third proportional to 655.13 and 1,053.56 is: 1,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.13 : 1,053.56 = 1,053.56 : x
  2. Step 2: Convert to fraction form
    655.13/1,053.56 = 1,053.56/x
  3. Step 3: Cross multiply
    655.13x = 1,053.56 × 1,053.56
  4. Step 4: Simplify right side
    655.13x = 1,109,993.94
  5. Step 5: Solve for x
    x = 1,109,993.94/655.13
  6. Step 6: Final answer
    x = 1,694.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.