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Finding the Third Proportional to 435.69 and 640.72

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Solution

The third proportional to 435.69 and 640.72 is: 942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.69 : 640.72 = 640.72 : x
  2. Step 2: Convert to fraction form
    435.69/640.72 = 640.72/x
  3. Step 3: Cross multiply
    435.69x = 640.72 × 640.72
  4. Step 4: Simplify right side
    435.69x = 410,525.52
  5. Step 5: Solve for x
    x = 410,525.52/435.69
  6. Step 6: Final answer
    x = 942.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.