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Finding the Third Proportional to 227,859 and 498,623

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Solution

The third proportional to 227,859 and 498,623 is: 1,091,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,859 : 498,623 = 498,623 : x
  2. Step 2: Convert to fraction form
    227,859/498,623 = 498,623/x
  3. Step 3: Cross multiply
    227,859x = 498,623 × 498,623
  4. Step 4: Simplify right side
    227,859x = 248,624,896,129
  5. Step 5: Solve for x
    x = 248,624,896,129/227,859
  6. Step 6: Final answer
    x = 1,091,134.85

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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.