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Finding the Third Proportional to 650.11 and 1,404.63

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Solution

The third proportional to 650.11 and 1,404.63 is: 3,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.11 : 1,404.63 = 1,404.63 : x
  2. Step 2: Convert to fraction form
    650.11/1,404.63 = 1,404.63/x
  3. Step 3: Cross multiply
    650.11x = 1,404.63 × 1,404.63
  4. Step 4: Simplify right side
    650.11x = 1,972,993.34
  5. Step 5: Solve for x
    x = 1,972,993.34/650.11
  6. Step 6: Final answer
    x = 3,034.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.