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Finding the Third Proportional to 207,864 and 448,938

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Solution

The third proportional to 207,864 and 448,938 is: 969,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,864 : 448,938 = 448,938 : x
  2. Step 2: Convert to fraction form
    207,864/448,938 = 448,938/x
  3. Step 3: Cross multiply
    207,864x = 448,938 × 448,938
  4. Step 4: Simplify right side
    207,864x = 201,545,327,844
  5. Step 5: Solve for x
    x = 201,545,327,844/207,864
  6. Step 6: Final answer
    x = 969,601.89

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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.