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Finding the Third Proportional to 207,922 and 448,990

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Solution

The third proportional to 207,922 and 448,990 is: 969,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,922 : 448,990 = 448,990 : x
  2. Step 2: Convert to fraction form
    207,922/448,990 = 448,990/x
  3. Step 3: Cross multiply
    207,922x = 448,990 × 448,990
  4. Step 4: Simplify right side
    207,922x = 201,592,020,100
  5. Step 5: Solve for x
    x = 201,592,020,100/207,922
  6. Step 6: Final answer
    x = 969,555.99

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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.