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Finding the Third Proportional to 221,589 and 487,458

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Solution

The third proportional to 221,589 and 487,458 is: 1,072,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,589 : 487,458 = 487,458 : x
  2. Step 2: Convert to fraction form
    221,589/487,458 = 487,458/x
  3. Step 3: Cross multiply
    221,589x = 487,458 × 487,458
  4. Step 4: Simplify right side
    221,589x = 237,615,301,764
  5. Step 5: Solve for x
    x = 237,615,301,764/221,589
  6. Step 6: Final answer
    x = 1,072,324.45

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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.