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Finding the Third Proportional to 478.50 and 696.25

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Solution

The third proportional to 478.50 and 696.25 is: 1,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 696.25 = 696.25 : x
  2. Step 2: Convert to fraction form
    478.50/696.25 = 696.25/x
  3. Step 3: Cross multiply
    478.50x = 696.25 × 696.25
  4. Step 4: Simplify right side
    478.50x = 484,764.06
  5. Step 5: Solve for x
    x = 484,764.06/478.50
  6. Step 6: Final answer
    x = 1,013.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.