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Finding the Third Proportional to 461.11 and 706.11

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Solution

The third proportional to 461.11 and 706.11 is: 1,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.11 : 706.11 = 706.11 : x
  2. Step 2: Convert to fraction form
    461.11/706.11 = 706.11/x
  3. Step 3: Cross multiply
    461.11x = 706.11 × 706.11
  4. Step 4: Simplify right side
    461.11x = 498,595.97
  5. Step 5: Solve for x
    x = 498,595.97/461.11
  6. Step 6: Final answer
    x = 1,081.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.