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Finding the Third Proportional to 207,821 and 448,798

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Solution

The third proportional to 207,821 and 448,798 is: 969,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,821 : 448,798 = 448,798 : x
  2. Step 2: Convert to fraction form
    207,821/448,798 = 448,798/x
  3. Step 3: Cross multiply
    207,821x = 448,798 × 448,798
  4. Step 4: Simplify right side
    207,821x = 201,419,644,804
  5. Step 5: Solve for x
    x = 201,419,644,804/207,821
  6. Step 6: Final answer
    x = 969,197.75

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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.