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Finding the Third Proportional to 371.14 and 522.07

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Solution

The third proportional to 371.14 and 522.07 is: 734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.14 : 522.07 = 522.07 : x
  2. Step 2: Convert to fraction form
    371.14/522.07 = 522.07/x
  3. Step 3: Cross multiply
    371.14x = 522.07 × 522.07
  4. Step 4: Simplify right side
    371.14x = 272,557.41
  5. Step 5: Solve for x
    x = 272,557.41/371.14
  6. Step 6: Final answer
    x = 734.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.