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Finding the Third Proportional to 615.94 and 1,334.39

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Solution

The third proportional to 615.94 and 1,334.39 is: 2,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.94 : 1,334.39 = 1,334.39 : x
  2. Step 2: Convert to fraction form
    615.94/1,334.39 = 1,334.39/x
  3. Step 3: Cross multiply
    615.94x = 1,334.39 × 1,334.39
  4. Step 4: Simplify right side
    615.94x = 1,780,598.34
  5. Step 5: Solve for x
    x = 1,780,598.34/615.94
  6. Step 6: Final answer
    x = 2,890.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.