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Finding the Third Proportional to 207,839 and 448,906

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Solution

The third proportional to 207,839 and 448,906 is: 969,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,839 : 448,906 = 448,906 : x
  2. Step 2: Convert to fraction form
    207,839/448,906 = 448,906/x
  3. Step 3: Cross multiply
    207,839x = 448,906 × 448,906
  4. Step 4: Simplify right side
    207,839x = 201,516,596,836
  5. Step 5: Solve for x
    x = 201,516,596,836/207,839
  6. Step 6: Final answer
    x = 969,580.28

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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.