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Finding the Third Proportional to 435.75 and 723.25

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Solution

The third proportional to 435.75 and 723.25 is: 1,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.75 : 723.25 = 723.25 : x
  2. Step 2: Convert to fraction form
    435.75/723.25 = 723.25/x
  3. Step 3: Cross multiply
    435.75x = 723.25 × 723.25
  4. Step 4: Simplify right side
    435.75x = 523,090.56
  5. Step 5: Solve for x
    x = 523,090.56/435.75
  6. Step 6: Final answer
    x = 1,200.44

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.