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Finding the Third Proportional to 650.21 and 1,402.00

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Solution

The third proportional to 650.21 and 1,402.00 is: 3,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.21 : 1,402.00 = 1,402.00 : x
  2. Step 2: Convert to fraction form
    650.21/1,402.00 = 1,402.00/x
  3. Step 3: Cross multiply
    650.21x = 1,402.00 × 1,402.00
  4. Step 4: Simplify right side
    650.21x = 1,965,593.05
  5. Step 5: Solve for x
    x = 1,965,593.05/650.21
  6. Step 6: Final answer
    x = 3,022.99

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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.