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Finding the Third Proportional to 207,891 and 448,974

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Solution

The third proportional to 207,891 and 448,974 is: 969,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,891 : 448,974 = 448,974 : x
  2. Step 2: Convert to fraction form
    207,891/448,974 = 448,974/x
  3. Step 3: Cross multiply
    207,891x = 448,974 × 448,974
  4. Step 4: Simplify right side
    207,891x = 201,577,652,676
  5. Step 5: Solve for x
    x = 201,577,652,676/207,891
  6. Step 6: Final answer
    x = 969,631.45

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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.