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Finding the Third Proportional to 227,673 and 498,904

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Solution

The third proportional to 227,673 and 498,904 is: 1,093,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,673 : 498,904 = 498,904 : x
  2. Step 2: Convert to fraction form
    227,673/498,904 = 498,904/x
  3. Step 3: Cross multiply
    227,673x = 498,904 × 498,904
  4. Step 4: Simplify right side
    227,673x = 248,905,201,216
  5. Step 5: Solve for x
    x = 248,905,201,216/227,673
  6. Step 6: Final answer
    x = 1,093,257.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.