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Finding the Third Proportional to 207,856 and 448,922

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Solution

The third proportional to 207,856 and 448,922 is: 969,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,856 : 448,922 = 448,922 : x
  2. Step 2: Convert to fraction form
    207,856/448,922 = 448,922/x
  3. Step 3: Cross multiply
    207,856x = 448,922 × 448,922
  4. Step 4: Simplify right side
    207,856x = 201,530,962,084
  5. Step 5: Solve for x
    x = 201,530,962,084/207,856
  6. Step 6: Final answer
    x = 969,570.10

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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.