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Finding the Third Proportional to 589.15 and 1,280.81

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Solution

The third proportional to 589.15 and 1,280.81 is: 2,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.15 : 1,280.81 = 1,280.81 : x
  2. Step 2: Convert to fraction form
    589.15/1,280.81 = 1,280.81/x
  3. Step 3: Cross multiply
    589.15x = 1,280.81 × 1,280.81
  4. Step 4: Simplify right side
    589.15x = 1,640,480.66
  5. Step 5: Solve for x
    x = 1,640,480.66/589.15
  6. Step 6: Final answer
    x = 2,784.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.