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Finding the Third Proportional to 576.84 and 1,356.19

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Solution

The third proportional to 576.84 and 1,356.19 is: 3,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.84 : 1,356.19 = 1,356.19 : x
  2. Step 2: Convert to fraction form
    576.84/1,356.19 = 1,356.19/x
  3. Step 3: Cross multiply
    576.84x = 1,356.19 × 1,356.19
  4. Step 4: Simplify right side
    576.84x = 1,839,244.54
  5. Step 5: Solve for x
    x = 1,839,244.54/576.84
  6. Step 6: Final answer
    x = 3,188.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.