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Finding the Third Proportional to 903.66 and 1,694.67

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Solution

The third proportional to 903.66 and 1,694.67 is: 3,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.66 : 1,694.67 = 1,694.67 : x
  2. Step 2: Convert to fraction form
    903.66/1,694.67 = 1,694.67/x
  3. Step 3: Cross multiply
    903.66x = 1,694.67 × 1,694.67
  4. Step 4: Simplify right side
    903.66x = 2,871,912.76
  5. Step 5: Solve for x
    x = 2,871,912.76/903.66
  6. Step 6: Final answer
    x = 3,178.10

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.