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Finding the Third Proportional to 615.30 and 1,321.73

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Solution

The third proportional to 615.30 and 1,321.73 is: 2,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.30 : 1,321.73 = 1,321.73 : x
  2. Step 2: Convert to fraction form
    615.30/1,321.73 = 1,321.73/x
  3. Step 3: Cross multiply
    615.30x = 1,321.73 × 1,321.73
  4. Step 4: Simplify right side
    615.30x = 1,746,981.76
  5. Step 5: Solve for x
    x = 1,746,981.76/615.30
  6. Step 6: Final answer
    x = 2,839.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.