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Finding the Third Proportional to 578.03 and 1,248.44

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Solution

The third proportional to 578.03 and 1,248.44 is: 2,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.03 : 1,248.44 = 1,248.44 : x
  2. Step 2: Convert to fraction form
    578.03/1,248.44 = 1,248.44/x
  3. Step 3: Cross multiply
    578.03x = 1,248.44 × 1,248.44
  4. Step 4: Simplify right side
    578.03x = 1,558,596.19
  5. Step 5: Solve for x
    x = 1,558,596.19/578.03
  6. Step 6: Final answer
    x = 2,696.39

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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.