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Finding the Third Proportional to 349.75 and 553.38

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Solution

The third proportional to 349.75 and 553.38 is: 875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.75 : 553.38 = 553.38 : x
  2. Step 2: Convert to fraction form
    349.75/553.38 = 553.38/x
  3. Step 3: Cross multiply
    349.75x = 553.38 × 553.38
  4. Step 4: Simplify right side
    349.75x = 306,223.89
  5. Step 5: Solve for x
    x = 306,223.89/349.75
  6. Step 6: Final answer
    x = 875.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.