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Finding the Third Proportional to 207,449 and 422,514

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Solution

The third proportional to 207,449 and 422,514 is: 860,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,449 : 422,514 = 422,514 : x
  2. Step 2: Convert to fraction form
    207,449/422,514 = 422,514/x
  3. Step 3: Cross multiply
    207,449x = 422,514 × 422,514
  4. Step 4: Simplify right side
    207,449x = 178,518,080,196
  5. Step 5: Solve for x
    x = 178,518,080,196/207,449
  6. Step 6: Final answer
    x = 860,539.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.