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Finding the Third Proportional to 314.22 and 683.17

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Solution

The third proportional to 314.22 and 683.17 is: 1,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.22 : 683.17 = 683.17 : x
  2. Step 2: Convert to fraction form
    314.22/683.17 = 683.17/x
  3. Step 3: Cross multiply
    314.22x = 683.17 × 683.17
  4. Step 4: Simplify right side
    314.22x = 466,723.81
  5. Step 5: Solve for x
    x = 466,723.81/314.22
  6. Step 6: Final answer
    x = 1,485.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.