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Finding the Third Proportional to 611.30 and 915.52

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Solution

The third proportional to 611.30 and 915.52 is: 1,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.30 : 915.52 = 915.52 : x
  2. Step 2: Convert to fraction form
    611.30/915.52 = 915.52/x
  3. Step 3: Cross multiply
    611.30x = 915.52 × 915.52
  4. Step 4: Simplify right side
    611.30x = 838,179.59
  5. Step 5: Solve for x
    x = 838,179.59/611.30
  6. Step 6: Final answer
    x = 1,371.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.