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Finding the Third Proportional to 230,240 and 498,896

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Solution

The third proportional to 230,240 and 498,896 is: 1,081,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,240 : 498,896 = 498,896 : x
  2. Step 2: Convert to fraction form
    230,240/498,896 = 498,896/x
  3. Step 3: Cross multiply
    230,240x = 498,896 × 498,896
  4. Step 4: Simplify right side
    230,240x = 248,897,218,816
  5. Step 5: Solve for x
    x = 248,897,218,816/230,240
  6. Step 6: Final answer
    x = 1,081,033.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.