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Finding the Third Proportional to 420.56 and 627.94

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Solution

The third proportional to 420.56 and 627.94 is: 937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.56 : 627.94 = 627.94 : x
  2. Step 2: Convert to fraction form
    420.56/627.94 = 627.94/x
  3. Step 3: Cross multiply
    420.56x = 627.94 × 627.94
  4. Step 4: Simplify right side
    420.56x = 394,305.50
  5. Step 5: Solve for x
    x = 394,305.50/420.56
  6. Step 6: Final answer
    x = 937.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.