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Finding the Third Proportional to 278.44 and 407.53

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Solution

The third proportional to 278.44 and 407.53 is: 596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 407.53 = 407.53 : x
  2. Step 2: Convert to fraction form
    278.44/407.53 = 407.53/x
  3. Step 3: Cross multiply
    278.44x = 407.53 × 407.53
  4. Step 4: Simplify right side
    278.44x = 166,081.72
  5. Step 5: Solve for x
    x = 166,081.72/278.44
  6. Step 6: Final answer
    x = 596.48

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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.