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Finding the Third Proportional to 739.69 and 1,111.50

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Solution

The third proportional to 739.69 and 1,111.50 is: 1,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.69 : 1,111.50 = 1,111.50 : x
  2. Step 2: Convert to fraction form
    739.69/1,111.50 = 1,111.50/x
  3. Step 3: Cross multiply
    739.69x = 1,111.50 × 1,111.50
  4. Step 4: Simplify right side
    739.69x = 1,235,432.25
  5. Step 5: Solve for x
    x = 1,235,432.25/739.69
  6. Step 6: Final answer
    x = 1,670.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.