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Finding the Third Proportional to 211,311 and 498,314

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Solution

The third proportional to 211,311 and 498,314 is: 1,175,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,311 : 498,314 = 498,314 : x
  2. Step 2: Convert to fraction form
    211,311/498,314 = 498,314/x
  3. Step 3: Cross multiply
    211,311x = 498,314 × 498,314
  4. Step 4: Simplify right side
    211,311x = 248,316,842,596
  5. Step 5: Solve for x
    x = 248,316,842,596/211,311
  6. Step 6: Final answer
    x = 1,175,125.02

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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.