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Finding the Third Proportional to 411.94 and 655.88

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Solution

The third proportional to 411.94 and 655.88 is: 1,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.94 : 655.88 = 655.88 : x
  2. Step 2: Convert to fraction form
    411.94/655.88 = 655.88/x
  3. Step 3: Cross multiply
    411.94x = 655.88 × 655.88
  4. Step 4: Simplify right side
    411.94x = 430,172.02
  5. Step 5: Solve for x
    x = 430,172.02/411.94
  6. Step 6: Final answer
    x = 1,044.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.