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Finding the Third Proportional to 376.56 and 810.94

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Solution

The third proportional to 376.56 and 810.94 is: 1,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.56 : 810.94 = 810.94 : x
  2. Step 2: Convert to fraction form
    376.56/810.94 = 810.94/x
  3. Step 3: Cross multiply
    376.56x = 810.94 × 810.94
  4. Step 4: Simplify right side
    376.56x = 657,624.38
  5. Step 5: Solve for x
    x = 657,624.38/376.56
  6. Step 6: Final answer
    x = 1,746.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.