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Finding the Third Proportional to 465.44 and 704.19

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Solution

The third proportional to 465.44 and 704.19 is: 1,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.44 : 704.19 = 704.19 : x
  2. Step 2: Convert to fraction form
    465.44/704.19 = 704.19/x
  3. Step 3: Cross multiply
    465.44x = 704.19 × 704.19
  4. Step 4: Simplify right side
    465.44x = 495,880.04
  5. Step 5: Solve for x
    x = 495,880.04/465.44
  6. Step 6: Final answer
    x = 1,065.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.