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Finding the Third Proportional to 207,832.92 and 447,714.42

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Solution

The third proportional to 207,832.92 and 447,714.42 is: 964,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,832.92 : 447,714.42 = 447,714.42 : x
  2. Step 2: Convert to fraction form
    207,832.92/447,714.42 = 447,714.42/x
  3. Step 3: Cross multiply
    207,832.92x = 447,714.42 × 447,714.42
  4. Step 4: Simplify right side
    207,832.92x = 200,448,203,554.87
  5. Step 5: Solve for x
    x = 200,448,203,554.87/207,832.92
  6. Step 6: Final answer
    x = 964,468.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.