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Finding the Third Proportional to 662.63 and 943.13

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Solution

The third proportional to 662.63 and 943.13 is: 1,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.63 : 943.13 = 943.13 : x
  2. Step 2: Convert to fraction form
    662.63/943.13 = 943.13/x
  3. Step 3: Cross multiply
    662.63x = 943.13 × 943.13
  4. Step 4: Simplify right side
    662.63x = 889,484.77
  5. Step 5: Solve for x
    x = 889,484.77/662.63
  6. Step 6: Final answer
    x = 1,342.37

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