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Finding the Third Proportional to 701.16 and 983.06

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Solution

The third proportional to 701.16 and 983.06 is: 1,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.16 : 983.06 = 983.06 : x
  2. Step 2: Convert to fraction form
    701.16/983.06 = 983.06/x
  3. Step 3: Cross multiply
    701.16x = 983.06 × 983.06
  4. Step 4: Simplify right side
    701.16x = 966,411.88
  5. Step 5: Solve for x
    x = 966,411.88/701.16
  6. Step 6: Final answer
    x = 1,378.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.