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Finding the Third Proportional to 314.44 and 666.38

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Solution

The third proportional to 314.44 and 666.38 is: 1,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.44 : 666.38 = 666.38 : x
  2. Step 2: Convert to fraction form
    314.44/666.38 = 666.38/x
  3. Step 3: Cross multiply
    314.44x = 666.38 × 666.38
  4. Step 4: Simplify right side
    314.44x = 444,055.64
  5. Step 5: Solve for x
    x = 444,055.64/314.44
  6. Step 6: Final answer
    x = 1,412.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.