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Finding the Third Proportional to 231,859 and 488,623

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Solution

The third proportional to 231,859 and 488,623 is: 1,029,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,859 : 488,623 = 488,623 : x
  2. Step 2: Convert to fraction form
    231,859/488,623 = 488,623/x
  3. Step 3: Cross multiply
    231,859x = 488,623 × 488,623
  4. Step 4: Simplify right side
    231,859x = 238,752,436,129
  5. Step 5: Solve for x
    x = 238,752,436,129/231,859
  6. Step 6: Final answer
    x = 1,029,731.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.