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Finding the Third Proportional to 730.69 and 1,109.81

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Solution

The third proportional to 730.69 and 1,109.81 is: 1,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.69 : 1,109.81 = 1,109.81 : x
  2. Step 2: Convert to fraction form
    730.69/1,109.81 = 1,109.81/x
  3. Step 3: Cross multiply
    730.69x = 1,109.81 × 1,109.81
  4. Step 4: Simplify right side
    730.69x = 1,231,683.79
  5. Step 5: Solve for x
    x = 1,231,683.79/730.69
  6. Step 6: Final answer
    x = 1,685.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.