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Finding the Third Proportional to 207,712.31 and 450,874.44

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Solution

The third proportional to 207,712.31 and 450,874.44 is: 978,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,712.31 : 450,874.44 = 450,874.44 : x
  2. Step 2: Convert to fraction form
    207,712.31/450,874.44 = 450,874.44/x
  3. Step 3: Cross multiply
    207,712.31x = 450,874.44 × 450,874.44
  4. Step 4: Simplify right side
    207,712.31x = 203,287,758,390.94
  5. Step 5: Solve for x
    x = 203,287,758,390.94/207,712.31
  6. Step 6: Final answer
    x = 978,698.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.