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Finding the Third Proportional to 211,336 and 498,496

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Solution

The third proportional to 211,336 and 498,496 is: 1,175,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,336 : 498,496 = 498,496 : x
  2. Step 2: Convert to fraction form
    211,336/498,496 = 498,496/x
  3. Step 3: Cross multiply
    211,336x = 498,496 × 498,496
  4. Step 4: Simplify right side
    211,336x = 248,498,262,016
  5. Step 5: Solve for x
    x = 248,498,262,016/211,336
  6. Step 6: Final answer
    x = 1,175,844.45

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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.