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Finding the Third Proportional to 207,927 and 448,983

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Solution

The third proportional to 207,927 and 448,983 is: 969,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,927 : 448,983 = 448,983 : x
  2. Step 2: Convert to fraction form
    207,927/448,983 = 448,983/x
  3. Step 3: Cross multiply
    207,927x = 448,983 × 448,983
  4. Step 4: Simplify right side
    207,927x = 201,585,734,289
  5. Step 5: Solve for x
    x = 201,585,734,289/207,927
  6. Step 6: Final answer
    x = 969,502.44

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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.