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Finding the Third Proportional to 207,841 and 448,910

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Solution

The third proportional to 207,841 and 448,910 is: 969,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,841 : 448,910 = 448,910 : x
  2. Step 2: Convert to fraction form
    207,841/448,910 = 448,910/x
  3. Step 3: Cross multiply
    207,841x = 448,910 × 448,910
  4. Step 4: Simplify right side
    207,841x = 201,520,188,100
  5. Step 5: Solve for x
    x = 201,520,188,100/207,841
  6. Step 6: Final answer
    x = 969,588.23

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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.