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Finding the Third Proportional to 421.45 and 862.84

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Solution

The third proportional to 421.45 and 862.84 is: 1,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.45 : 862.84 = 862.84 : x
  2. Step 2: Convert to fraction form
    421.45/862.84 = 862.84/x
  3. Step 3: Cross multiply
    421.45x = 862.84 × 862.84
  4. Step 4: Simplify right side
    421.45x = 744,492.60
  5. Step 5: Solve for x
    x = 744,492.60/421.45
  6. Step 6: Final answer
    x = 1,766.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.