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Finding the Third Proportional to 314.81 and 655.69

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Solution

The third proportional to 314.81 and 655.69 is: 1,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.81 : 655.69 = 655.69 : x
  2. Step 2: Convert to fraction form
    314.81/655.69 = 655.69/x
  3. Step 3: Cross multiply
    314.81x = 655.69 × 655.69
  4. Step 4: Simplify right side
    314.81x = 429,926.10
  5. Step 5: Solve for x
    x = 429,926.10/314.81
  6. Step 6: Final answer
    x = 1,365.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.