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Finding the Third Proportional to 231,801 and 498,264

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Solution

The third proportional to 231,801 and 498,264 is: 1,071,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,801 : 498,264 = 498,264 : x
  2. Step 2: Convert to fraction form
    231,801/498,264 = 498,264/x
  3. Step 3: Cross multiply
    231,801x = 498,264 × 498,264
  4. Step 4: Simplify right side
    231,801x = 248,267,013,696
  5. Step 5: Solve for x
    x = 248,267,013,696/231,801
  6. Step 6: Final answer
    x = 1,071,035.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.