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Finding the Third Proportional to 227,839 and 498,587

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Solution

The third proportional to 227,839 and 498,587 is: 1,091,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,839 : 498,587 = 498,587 : x
  2. Step 2: Convert to fraction form
    227,839/498,587 = 498,587/x
  3. Step 3: Cross multiply
    227,839x = 498,587 × 498,587
  4. Step 4: Simplify right side
    227,839x = 248,588,996,569
  5. Step 5: Solve for x
    x = 248,588,996,569/227,839
  6. Step 6: Final answer
    x = 1,091,073.07

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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.