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Finding the Third Proportional to 482.06 and 725.34

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Solution

The third proportional to 482.06 and 725.34 is: 1,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.06 : 725.34 = 725.34 : x
  2. Step 2: Convert to fraction form
    482.06/725.34 = 725.34/x
  3. Step 3: Cross multiply
    482.06x = 725.34 × 725.34
  4. Step 4: Simplify right side
    482.06x = 526,123.56
  5. Step 5: Solve for x
    x = 526,123.56/482.06
  6. Step 6: Final answer
    x = 1,091.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.