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Finding the Third Proportional to 931.22 and 1,280.39

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Solution

The third proportional to 931.22 and 1,280.39 is: 1,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.22 : 1,280.39 = 1,280.39 : x
  2. Step 2: Convert to fraction form
    931.22/1,280.39 = 1,280.39/x
  3. Step 3: Cross multiply
    931.22x = 1,280.39 × 1,280.39
  4. Step 4: Simplify right side
    931.22x = 1,639,400.15
  5. Step 5: Solve for x
    x = 1,639,400.15/931.22
  6. Step 6: Final answer
    x = 1,760.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.