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Finding the Third Proportional to 603.75 and 654.38

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Solution

The third proportional to 603.75 and 654.38 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.75 : 654.38 = 654.38 : x
  2. Step 2: Convert to fraction form
    603.75/654.38 = 654.38/x
  3. Step 3: Cross multiply
    603.75x = 654.38 × 654.38
  4. Step 4: Simplify right side
    603.75x = 428,206.64
  5. Step 5: Solve for x
    x = 428,206.64/603.75
  6. Step 6: Final answer
    x = 709.24

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.