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Finding the Third Proportional to 207,856 and 448,924

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Solution

The third proportional to 207,856 and 448,924 is: 969,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,856 : 448,924 = 448,924 : x
  2. Step 2: Convert to fraction form
    207,856/448,924 = 448,924/x
  3. Step 3: Cross multiply
    207,856x = 448,924 × 448,924
  4. Step 4: Simplify right side
    207,856x = 201,532,757,776
  5. Step 5: Solve for x
    x = 201,532,757,776/207,856
  6. Step 6: Final answer
    x = 969,578.74

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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.