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Finding the Third Proportional to 346.75 and 494.25

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Solution

The third proportional to 346.75 and 494.25 is: 704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.75 : 494.25 = 494.25 : x
  2. Step 2: Convert to fraction form
    346.75/494.25 = 494.25/x
  3. Step 3: Cross multiply
    346.75x = 494.25 × 494.25
  4. Step 4: Simplify right side
    346.75x = 244,283.06
  5. Step 5: Solve for x
    x = 244,283.06/346.75
  6. Step 6: Final answer
    x = 704.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.