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Finding the Third Proportional to 678.94 and 1,310.63

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Solution

The third proportional to 678.94 and 1,310.63 is: 2,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.94 : 1,310.63 = 1,310.63 : x
  2. Step 2: Convert to fraction form
    678.94/1,310.63 = 1,310.63/x
  3. Step 3: Cross multiply
    678.94x = 1,310.63 × 1,310.63
  4. Step 4: Simplify right side
    678.94x = 1,717,737.89
  5. Step 5: Solve for x
    x = 1,717,737.89/678.94
  6. Step 6: Final answer
    x = 2,530.04

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.