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Finding the Third Proportional to 607.75 and 890.38

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Solution

The third proportional to 607.75 and 890.38 is: 1,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.75 : 890.38 = 890.38 : x
  2. Step 2: Convert to fraction form
    607.75/890.38 = 890.38/x
  3. Step 3: Cross multiply
    607.75x = 890.38 × 890.38
  4. Step 4: Simplify right side
    607.75x = 792,767.64
  5. Step 5: Solve for x
    x = 792,767.64/607.75
  6. Step 6: Final answer
    x = 1,304.43

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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.