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Finding the Third Proportional to 345.94 and 755.06

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Solution

The third proportional to 345.94 and 755.06 is: 1,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.94 : 755.06 = 755.06 : x
  2. Step 2: Convert to fraction form
    345.94/755.06 = 755.06/x
  3. Step 3: Cross multiply
    345.94x = 755.06 × 755.06
  4. Step 4: Simplify right side
    345.94x = 570,119.38
  5. Step 5: Solve for x
    x = 570,119.38/345.94
  6. Step 6: Final answer
    x = 1,648.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.