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Finding the Third Proportional to 475.59 and 696.94

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Solution

The third proportional to 475.59 and 696.94 is: 1,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.59 : 696.94 = 696.94 : x
  2. Step 2: Convert to fraction form
    475.59/696.94 = 696.94/x
  3. Step 3: Cross multiply
    475.59x = 696.94 × 696.94
  4. Step 4: Simplify right side
    475.59x = 485,721.88
  5. Step 5: Solve for x
    x = 485,721.88/475.59
  6. Step 6: Final answer
    x = 1,021.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.