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Finding the Third Proportional to 211,321 and 498,339

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Solution

The third proportional to 211,321 and 498,339 is: 1,175,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,321 : 498,339 = 498,339 : x
  2. Step 2: Convert to fraction form
    211,321/498,339 = 498,339/x
  3. Step 3: Cross multiply
    211,321x = 498,339 × 498,339
  4. Step 4: Simplify right side
    211,321x = 248,341,758,921
  5. Step 5: Solve for x
    x = 248,341,758,921/211,321
  6. Step 6: Final answer
    x = 1,175,187.32

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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.