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Finding the Third Proportional to 930.66 and 1,443.66

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Solution

The third proportional to 930.66 and 1,443.66 is: 2,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.66 : 1,443.66 = 1,443.66 : x
  2. Step 2: Convert to fraction form
    930.66/1,443.66 = 1,443.66/x
  3. Step 3: Cross multiply
    930.66x = 1,443.66 × 1,443.66
  4. Step 4: Simplify right side
    930.66x = 2,084,143.37
  5. Step 5: Solve for x
    x = 2,084,143.37/930.66
  6. Step 6: Final answer
    x = 2,239.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.