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Finding the Third Proportional to 207,971.72 and 447,467.06

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Solution

The third proportional to 207,971.72 and 447,467.06 is: 962,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,971.72 : 447,467.06 = 447,467.06 : x
  2. Step 2: Convert to fraction form
    207,971.72/447,467.06 = 447,467.06/x
  3. Step 3: Cross multiply
    207,971.72x = 447,467.06 × 447,467.06
  4. Step 4: Simplify right side
    207,971.72x = 200,226,772,022.38
  5. Step 5: Solve for x
    x = 200,226,772,022.38/207,971.72
  6. Step 6: Final answer
    x = 962,759.62

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Why These Related Problems?

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