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Finding the Third Proportional to 615.32 and 1,333.16

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Solution

The third proportional to 615.32 and 1,333.16 is: 2,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.32 : 1,333.16 = 1,333.16 : x
  2. Step 2: Convert to fraction form
    615.32/1,333.16 = 1,333.16/x
  3. Step 3: Cross multiply
    615.32x = 1,333.16 × 1,333.16
  4. Step 4: Simplify right side
    615.32x = 1,777,305.59
  5. Step 5: Solve for x
    x = 1,777,305.59/615.32
  6. Step 6: Final answer
    x = 2,888.42

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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.