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Finding the Third Proportional to 341.56 and 732.88

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Solution

The third proportional to 341.56 and 732.88 is: 1,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.56 : 732.88 = 732.88 : x
  2. Step 2: Convert to fraction form
    341.56/732.88 = 732.88/x
  3. Step 3: Cross multiply
    341.56x = 732.88 × 732.88
  4. Step 4: Simplify right side
    341.56x = 537,107.20
  5. Step 5: Solve for x
    x = 537,107.20/341.56
  6. Step 6: Final answer
    x = 1,572.51

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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.