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Finding the Third Proportional to 351.75 and 725.81

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Solution

The third proportional to 351.75 and 725.81 is: 1,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.75 : 725.81 = 725.81 : x
  2. Step 2: Convert to fraction form
    351.75/725.81 = 725.81/x
  3. Step 3: Cross multiply
    351.75x = 725.81 × 725.81
  4. Step 4: Simplify right side
    351.75x = 526,803.79
  5. Step 5: Solve for x
    x = 526,803.79/351.75
  6. Step 6: Final answer
    x = 1,497.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.