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Finding the Third Proportional to 706.22 and 1,511.16

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Solution

The third proportional to 706.22 and 1,511.16 is: 3,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.22 : 1,511.16 = 1,511.16 : x
  2. Step 2: Convert to fraction form
    706.22/1,511.16 = 1,511.16/x
  3. Step 3: Cross multiply
    706.22x = 1,511.16 × 1,511.16
  4. Step 4: Simplify right side
    706.22x = 2,283,593.21
  5. Step 5: Solve for x
    x = 2,283,593.21/706.22
  6. Step 6: Final answer
    x = 3,233.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.