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Finding the Third Proportional to 475.45 and 1,026.84

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Solution

The third proportional to 475.45 and 1,026.84 is: 2,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.45 : 1,026.84 = 1,026.84 : x
  2. Step 2: Convert to fraction form
    475.45/1,026.84 = 1,026.84/x
  3. Step 3: Cross multiply
    475.45x = 1,026.84 × 1,026.84
  4. Step 4: Simplify right side
    475.45x = 1,054,408.09
  5. Step 5: Solve for x
    x = 1,054,408.09/475.45
  6. Step 6: Final answer
    x = 2,217.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.