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Finding the Third Proportional to 229,783 and 498,796

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Solution

The third proportional to 229,783 and 498,796 is: 1,082,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,783 : 498,796 = 498,796 : x
  2. Step 2: Convert to fraction form
    229,783/498,796 = 498,796/x
  3. Step 3: Cross multiply
    229,783x = 498,796 × 498,796
  4. Step 4: Simplify right side
    229,783x = 248,797,449,616
  5. Step 5: Solve for x
    x = 248,797,449,616/229,783
  6. Step 6: Final answer
    x = 1,082,749.59

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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.