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Finding the Third Proportional to 444.23 and 654.96

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Solution

The third proportional to 444.23 and 654.96 is: 965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.23 : 654.96 = 654.96 : x
  2. Step 2: Convert to fraction form
    444.23/654.96 = 654.96/x
  3. Step 3: Cross multiply
    444.23x = 654.96 × 654.96
  4. Step 4: Simplify right side
    444.23x = 428,973.83
  5. Step 5: Solve for x
    x = 428,973.83/444.23
  6. Step 6: Final answer
    x = 965.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.