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Finding the Third Proportional to 211,310 and 498,321

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Solution

The third proportional to 211,310 and 498,321 is: 1,175,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,310 : 498,321 = 498,321 : x
  2. Step 2: Convert to fraction form
    211,310/498,321 = 498,321/x
  3. Step 3: Cross multiply
    211,310x = 498,321 × 498,321
  4. Step 4: Simplify right side
    211,310x = 248,323,819,041
  5. Step 5: Solve for x
    x = 248,323,819,041/211,310
  6. Step 6: Final answer
    x = 1,175,163.59

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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.