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Finding the Third Proportional to 945.28 and 1,469.67

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Solution

The third proportional to 945.28 and 1,469.67 is: 2,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.28 : 1,469.67 = 1,469.67 : x
  2. Step 2: Convert to fraction form
    945.28/1,469.67 = 1,469.67/x
  3. Step 3: Cross multiply
    945.28x = 1,469.67 × 1,469.67
  4. Step 4: Simplify right side
    945.28x = 2,159,935.42
  5. Step 5: Solve for x
    x = 2,159,935.42/945.28
  6. Step 6: Final answer
    x = 2,284.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.