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Finding the Third Proportional to 232,891 and 498,982

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Solution

The third proportional to 232,891 and 498,982 is: 1,069,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,891 : 498,982 = 498,982 : x
  2. Step 2: Convert to fraction form
    232,891/498,982 = 498,982/x
  3. Step 3: Cross multiply
    232,891x = 498,982 × 498,982
  4. Step 4: Simplify right side
    232,891x = 248,983,036,324
  5. Step 5: Solve for x
    x = 248,983,036,324/232,891
  6. Step 6: Final answer
    x = 1,069,096.86

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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.