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Finding the Third Proportional to 371.14 and 810.63

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Solution

The third proportional to 371.14 and 810.63 is: 1,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.14 : 810.63 = 810.63 : x
  2. Step 2: Convert to fraction form
    371.14/810.63 = 810.63/x
  3. Step 3: Cross multiply
    371.14x = 810.63 × 810.63
  4. Step 4: Simplify right side
    371.14x = 657,125.56
  5. Step 5: Solve for x
    x = 657,125.56/371.14
  6. Step 6: Final answer
    x = 1,770.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.