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Finding the Third Proportional to 676.88 and 730.13

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Solution

The third proportional to 676.88 and 730.13 is: 787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.88 : 730.13 = 730.13 : x
  2. Step 2: Convert to fraction form
    676.88/730.13 = 730.13/x
  3. Step 3: Cross multiply
    676.88x = 730.13 × 730.13
  4. Step 4: Simplify right side
    676.88x = 533,082.52
  5. Step 5: Solve for x
    x = 533,082.52/676.88
  6. Step 6: Final answer
    x = 787.56

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.