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Finding the Third Proportional to 470.40 and 704.26

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Solution

The third proportional to 470.40 and 704.26 is: 1,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 704.26 = 704.26 : x
  2. Step 2: Convert to fraction form
    470.40/704.26 = 704.26/x
  3. Step 3: Cross multiply
    470.40x = 704.26 × 704.26
  4. Step 4: Simplify right side
    470.40x = 495,983.54
  5. Step 5: Solve for x
    x = 495,983.54/470.40
  6. Step 6: Final answer
    x = 1,054.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.