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Finding the Third Proportional to 371.25 and 583.94

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Solution

The third proportional to 371.25 and 583.94 is: 918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.25 : 583.94 = 583.94 : x
  2. Step 2: Convert to fraction form
    371.25/583.94 = 583.94/x
  3. Step 3: Cross multiply
    371.25x = 583.94 × 583.94
  4. Step 4: Simplify right side
    371.25x = 340,983.00
  5. Step 5: Solve for x
    x = 340,983.00/371.25
  6. Step 6: Final answer
    x = 918.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.