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Finding the Third Proportional to 611.34 and 947.16

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Solution

The third proportional to 611.34 and 947.16 is: 1,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.34 : 947.16 = 947.16 : x
  2. Step 2: Convert to fraction form
    611.34/947.16 = 947.16/x
  3. Step 3: Cross multiply
    611.34x = 947.16 × 947.16
  4. Step 4: Simplify right side
    611.34x = 897,104.96
  5. Step 5: Solve for x
    x = 897,104.96/611.34
  6. Step 6: Final answer
    x = 1,467.43

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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.