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Finding the Third Proportional to 221,536 and 485,960

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Solution

The third proportional to 221,536 and 485,960 is: 1,065,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,536 : 485,960 = 485,960 : x
  2. Step 2: Convert to fraction form
    221,536/485,960 = 485,960/x
  3. Step 3: Cross multiply
    221,536x = 485,960 × 485,960
  4. Step 4: Simplify right side
    221,536x = 236,157,121,600
  5. Step 5: Solve for x
    x = 236,157,121,600/221,536
  6. Step 6: Final answer
    x = 1,065,998.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.