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Finding the Third Proportional to 232,821 and 498,845

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Solution

The third proportional to 232,821 and 498,845 is: 1,068,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,821 : 498,845 = 498,845 : x
  2. Step 2: Convert to fraction form
    232,821/498,845 = 498,845/x
  3. Step 3: Cross multiply
    232,821x = 498,845 × 498,845
  4. Step 4: Simplify right side
    232,821x = 248,846,334,025
  5. Step 5: Solve for x
    x = 248,846,334,025/232,821
  6. Step 6: Final answer
    x = 1,068,831.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.