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Finding the Third Proportional to 211,313 and 498,319

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Solution

The third proportional to 211,313 and 498,319 is: 1,175,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,313 : 498,319 = 498,319 : x
  2. Step 2: Convert to fraction form
    211,313/498,319 = 498,319/x
  3. Step 3: Cross multiply
    211,313x = 498,319 × 498,319
  4. Step 4: Simplify right side
    211,313x = 248,321,825,761
  5. Step 5: Solve for x
    x = 248,321,825,761/211,313
  6. Step 6: Final answer
    x = 1,175,137.48

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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.