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Finding the Third Proportional to 346.50 and 747.25

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Solution

The third proportional to 346.50 and 747.25 is: 1,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.50 : 747.25 = 747.25 : x
  2. Step 2: Convert to fraction form
    346.50/747.25 = 747.25/x
  3. Step 3: Cross multiply
    346.50x = 747.25 × 747.25
  4. Step 4: Simplify right side
    346.50x = 558,382.56
  5. Step 5: Solve for x
    x = 558,382.56/346.50
  6. Step 6: Final answer
    x = 1,611.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.