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Finding the Third Proportional to 703.69 and 1,074.09

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Solution

The third proportional to 703.69 and 1,074.09 is: 1,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 1,074.09 = 1,074.09 : x
  2. Step 2: Convert to fraction form
    703.69/1,074.09 = 1,074.09/x
  3. Step 3: Cross multiply
    703.69x = 1,074.09 × 1,074.09
  4. Step 4: Simplify right side
    703.69x = 1,153,677.38
  5. Step 5: Solve for x
    x = 1,153,677.38/703.69
  6. Step 6: Final answer
    x = 1,639.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.