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Finding the Third Proportional to 469.43 and 736.37

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Solution

The third proportional to 469.43 and 736.37 is: 1,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.43 : 736.37 = 736.37 : x
  2. Step 2: Convert to fraction form
    469.43/736.37 = 736.37/x
  3. Step 3: Cross multiply
    469.43x = 736.37 × 736.37
  4. Step 4: Simplify right side
    469.43x = 542,246.70
  5. Step 5: Solve for x
    x = 542,246.70/469.43
  6. Step 6: Final answer
    x = 1,155.11

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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.