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Finding the Third Proportional to 280.13 and 407.44

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Solution

The third proportional to 280.13 and 407.44 is: 592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.13 : 407.44 = 407.44 : x
  2. Step 2: Convert to fraction form
    280.13/407.44 = 407.44/x
  3. Step 3: Cross multiply
    280.13x = 407.44 × 407.44
  4. Step 4: Simplify right side
    280.13x = 166,005.32
  5. Step 5: Solve for x
    x = 166,005.32/280.13
  6. Step 6: Final answer
    x = 592.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.