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Finding the Third Proportional to 231,800 and 498,262

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Solution

The third proportional to 231,800 and 498,262 is: 1,071,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,800 : 498,262 = 498,262 : x
  2. Step 2: Convert to fraction form
    231,800/498,262 = 498,262/x
  3. Step 3: Cross multiply
    231,800x = 498,262 × 498,262
  4. Step 4: Simplify right side
    231,800x = 248,265,020,644
  5. Step 5: Solve for x
    x = 248,265,020,644/231,800
  6. Step 6: Final answer
    x = 1,071,031.15

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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.