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Finding the Third Proportional to 470.67 and 737.30

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Solution

The third proportional to 470.67 and 737.30 is: 1,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.67 : 737.30 = 737.30 : x
  2. Step 2: Convert to fraction form
    470.67/737.30 = 737.30/x
  3. Step 3: Cross multiply
    470.67x = 737.30 × 737.30
  4. Step 4: Simplify right side
    470.67x = 543,606.68
  5. Step 5: Solve for x
    x = 543,606.68/470.67
  6. Step 6: Final answer
    x = 1,154.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.