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Finding the Third Proportional to 412.36 and 605.02

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Solution

The third proportional to 412.36 and 605.02 is: 887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 605.02 = 605.02 : x
  2. Step 2: Convert to fraction form
    412.36/605.02 = 605.02/x
  3. Step 3: Cross multiply
    412.36x = 605.02 × 605.02
  4. Step 4: Simplify right side
    412.36x = 366,043.91
  5. Step 5: Solve for x
    x = 366,043.91/412.36
  6. Step 6: Final answer
    x = 887.68

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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.