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Finding the Third Proportional to 406 and 627.50

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Solution

The third proportional to 406 and 627.50 is: 969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 627.50 = 627.50 : x
  2. Step 2: Convert to fraction form
    406/627.50 = 627.50/x
  3. Step 3: Cross multiply
    406x = 627.50 × 627.50
  4. Step 4: Simplify right side
    406x = 393,756.25
  5. Step 5: Solve for x
    x = 393,756.25/406
  6. Step 6: Final answer
    x = 969.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.