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Finding the Third Proportional to 611.49 and 928.91

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Solution

The third proportional to 611.49 and 928.91 is: 1,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.49 : 928.91 = 928.91 : x
  2. Step 2: Convert to fraction form
    611.49/928.91 = 928.91/x
  3. Step 3: Cross multiply
    611.49x = 928.91 × 928.91
  4. Step 4: Simplify right side
    611.49x = 862,868.64
  5. Step 5: Solve for x
    x = 862,868.64/611.49
  6. Step 6: Final answer
    x = 1,411.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.