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Finding the Third Proportional to 230,867 and 498,948

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Solution

The third proportional to 230,867 and 498,948 is: 1,078,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,867 : 498,948 = 498,948 : x
  2. Step 2: Convert to fraction form
    230,867/498,948 = 498,948/x
  3. Step 3: Cross multiply
    230,867x = 498,948 × 498,948
  4. Step 4: Simplify right side
    230,867x = 248,949,106,704
  5. Step 5: Solve for x
    x = 248,949,106,704/230,867
  6. Step 6: Final answer
    x = 1,078,322.61

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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.