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Finding the Third Proportional to 404.48 and 866.67

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Solution

The third proportional to 404.48 and 866.67 is: 1,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.48 : 866.67 = 866.67 : x
  2. Step 2: Convert to fraction form
    404.48/866.67 = 866.67/x
  3. Step 3: Cross multiply
    404.48x = 866.67 × 866.67
  4. Step 4: Simplify right side
    404.48x = 751,120.14
  5. Step 5: Solve for x
    x = 751,120.14/404.48
  6. Step 6: Final answer
    x = 1,856.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.