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Finding the Third Proportional to 207,844 and 448,920

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Solution

The third proportional to 207,844 and 448,920 is: 969,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,844 : 448,920 = 448,920 : x
  2. Step 2: Convert to fraction form
    207,844/448,920 = 448,920/x
  3. Step 3: Cross multiply
    207,844x = 448,920 × 448,920
  4. Step 4: Simplify right side
    207,844x = 201,529,166,400
  5. Step 5: Solve for x
    x = 201,529,166,400/207,844
  6. Step 6: Final answer
    x = 969,617.44

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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.