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Finding the Third Proportional to 211,293 and 498,282

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Solution

The third proportional to 211,293 and 498,282 is: 1,175,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,293 : 498,282 = 498,282 : x
  2. Step 2: Convert to fraction form
    211,293/498,282 = 498,282/x
  3. Step 3: Cross multiply
    211,293x = 498,282 × 498,282
  4. Step 4: Simplify right side
    211,293x = 248,284,951,524
  5. Step 5: Solve for x
    x = 248,284,951,524/211,293
  6. Step 6: Final answer
    x = 1,175,074.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.