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Finding the Third Proportional to 444.38 and 646.31

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Solution

The third proportional to 444.38 and 646.31 is: 940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.38 : 646.31 = 646.31 : x
  2. Step 2: Convert to fraction form
    444.38/646.31 = 646.31/x
  3. Step 3: Cross multiply
    444.38x = 646.31 × 646.31
  4. Step 4: Simplify right side
    444.38x = 417,719.85
  5. Step 5: Solve for x
    x = 417,719.85/444.38
  6. Step 6: Final answer
    x = 940.02

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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.