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Finding the Third Proportional to 787.76 and 1,704.72

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Solution

The third proportional to 787.76 and 1,704.72 is: 3,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.76 : 1,704.72 = 1,704.72 : x
  2. Step 2: Convert to fraction form
    787.76/1,704.72 = 1,704.72/x
  3. Step 3: Cross multiply
    787.76x = 1,704.72 × 1,704.72
  4. Step 4: Simplify right side
    787.76x = 2,906,079.54
  5. Step 5: Solve for x
    x = 2,906,079.54/787.76
  6. Step 6: Final answer
    x = 3,689.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.