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Finding the Third Proportional to 221,836 and 487,916

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Solution

The third proportional to 221,836 and 487,916 is: 1,073,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,836 : 487,916 = 487,916 : x
  2. Step 2: Convert to fraction form
    221,836/487,916 = 487,916/x
  3. Step 3: Cross multiply
    221,836x = 487,916 × 487,916
  4. Step 4: Simplify right side
    221,836x = 238,062,023,056
  5. Step 5: Solve for x
    x = 238,062,023,056/221,836
  6. Step 6: Final answer
    x = 1,073,144.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.