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Finding the Third Proportional to 484.17 and 698.84

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Solution

The third proportional to 484.17 and 698.84 is: 1,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.17 : 698.84 = 698.84 : x
  2. Step 2: Convert to fraction form
    484.17/698.84 = 698.84/x
  3. Step 3: Cross multiply
    484.17x = 698.84 × 698.84
  4. Step 4: Simplify right side
    484.17x = 488,371.67
  5. Step 5: Solve for x
    x = 488,371.67/484.17
  6. Step 6: Final answer
    x = 1,008.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.