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Finding the Third Proportional to 488.25 and 786.23

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Solution

The third proportional to 488.25 and 786.23 is: 1,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.25 : 786.23 = 786.23 : x
  2. Step 2: Convert to fraction form
    488.25/786.23 = 786.23/x
  3. Step 3: Cross multiply
    488.25x = 786.23 × 786.23
  4. Step 4: Simplify right side
    488.25x = 618,164.49
  5. Step 5: Solve for x
    x = 618,164.49/488.25
  6. Step 6: Final answer
    x = 1,266.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.