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Finding the Third Proportional to 207,808 and 448,771

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Solution

The third proportional to 207,808 and 448,771 is: 969,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,808 : 448,771 = 448,771 : x
  2. Step 2: Convert to fraction form
    207,808/448,771 = 448,771/x
  3. Step 3: Cross multiply
    207,808x = 448,771 × 448,771
  4. Step 4: Simplify right side
    207,808x = 201,395,410,441
  5. Step 5: Solve for x
    x = 201,395,410,441/207,808
  6. Step 6: Final answer
    x = 969,141.76

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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.