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Finding the Third Proportional to 412.50 and 444.75

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Solution

The third proportional to 412.50 and 444.75 is: 479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.50 : 444.75 = 444.75 : x
  2. Step 2: Convert to fraction form
    412.50/444.75 = 444.75/x
  3. Step 3: Cross multiply
    412.50x = 444.75 × 444.75
  4. Step 4: Simplify right side
    412.50x = 197,802.56
  5. Step 5: Solve for x
    x = 197,802.56/412.50
  6. Step 6: Final answer
    x = 479.52

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.