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Finding the Third Proportional to 703.34 and 943.84

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Solution

The third proportional to 703.34 and 943.84 is: 1,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.34 : 943.84 = 943.84 : x
  2. Step 2: Convert to fraction form
    703.34/943.84 = 943.84/x
  3. Step 3: Cross multiply
    703.34x = 943.84 × 943.84
  4. Step 4: Simplify right side
    703.34x = 890,833.65
  5. Step 5: Solve for x
    x = 890,833.65/703.34
  6. Step 6: Final answer
    x = 1,266.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.