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Finding the Third Proportional to 207,797.27 and 448,748.86

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Solution

The third proportional to 207,797.27 and 448,748.86 is: 969,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,797.27 : 448,748.86 = 448,748.86 : x
  2. Step 2: Convert to fraction form
    207,797.27/448,748.86 = 448,748.86/x
  3. Step 3: Cross multiply
    207,797.27x = 448,748.86 × 448,748.86
  4. Step 4: Simplify right side
    207,797.27x = 201,375,538,790.36
  5. Step 5: Solve for x
    x = 201,375,538,790.36/207,797.27
  6. Step 6: Final answer
    x = 969,096.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.