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Finding the Third Proportional to 989.63 and 1,426.31

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Solution

The third proportional to 989.63 and 1,426.31 is: 2,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.63 : 1,426.31 = 1,426.31 : x
  2. Step 2: Convert to fraction form
    989.63/1,426.31 = 1,426.31/x
  3. Step 3: Cross multiply
    989.63x = 1,426.31 × 1,426.31
  4. Step 4: Simplify right side
    989.63x = 2,034,367.35
  5. Step 5: Solve for x
    x = 2,034,367.35/989.63
  6. Step 6: Final answer
    x = 2,055.70

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.