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Finding the Third Proportional to 705.09 and 986.06

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Solution

The third proportional to 705.09 and 986.06 is: 1,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.09 : 986.06 = 986.06 : x
  2. Step 2: Convert to fraction form
    705.09/986.06 = 986.06/x
  3. Step 3: Cross multiply
    705.09x = 986.06 × 986.06
  4. Step 4: Simplify right side
    705.09x = 972,319.25
  5. Step 5: Solve for x
    x = 972,319.25/705.09
  6. Step 6: Final answer
    x = 1,378.99

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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.