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Finding the Third Proportional to 444.50 and 624.25

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Solution

The third proportional to 444.50 and 624.25 is: 876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.50 : 624.25 = 624.25 : x
  2. Step 2: Convert to fraction form
    444.50/624.25 = 624.25/x
  3. Step 3: Cross multiply
    444.50x = 624.25 × 624.25
  4. Step 4: Simplify right side
    444.50x = 389,688.06
  5. Step 5: Solve for x
    x = 389,688.06/444.50
  6. Step 6: Final answer
    x = 876.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.