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Finding the Third Proportional to 427.13 and 605.06

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Solution

The third proportional to 427.13 and 605.06 is: 857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.13 : 605.06 = 605.06 : x
  2. Step 2: Convert to fraction form
    427.13/605.06 = 605.06/x
  3. Step 3: Cross multiply
    427.13x = 605.06 × 605.06
  4. Step 4: Simplify right side
    427.13x = 366,100.63
  5. Step 5: Solve for x
    x = 366,100.63/427.13
  6. Step 6: Final answer
    x = 857.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.