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Finding the Third Proportional to 773.88 and 1,694.63

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Solution

The third proportional to 773.88 and 1,694.63 is: 3,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.88 : 1,694.63 = 1,694.63 : x
  2. Step 2: Convert to fraction form
    773.88/1,694.63 = 1,694.63/x
  3. Step 3: Cross multiply
    773.88x = 1,694.63 × 1,694.63
  4. Step 4: Simplify right side
    773.88x = 2,871,753.89
  5. Step 5: Solve for x
    x = 2,871,753.89/773.88
  6. Step 6: Final answer
    x = 3,710.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.