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Finding the Third Proportional to 684.75 and 914.63

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Solution

The third proportional to 684.75 and 914.63 is: 1,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.75 : 914.63 = 914.63 : x
  2. Step 2: Convert to fraction form
    684.75/914.63 = 914.63/x
  3. Step 3: Cross multiply
    684.75x = 914.63 × 914.63
  4. Step 4: Simplify right side
    684.75x = 836,538.89
  5. Step 5: Solve for x
    x = 836,538.89/684.75
  6. Step 6: Final answer
    x = 1,221.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.