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Finding the Third Proportional to 207,852 and 448,916

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Solution

The third proportional to 207,852 and 448,916 is: 969,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,852 : 448,916 = 448,916 : x
  2. Step 2: Convert to fraction form
    207,852/448,916 = 448,916/x
  3. Step 3: Cross multiply
    207,852x = 448,916 × 448,916
  4. Step 4: Simplify right side
    207,852x = 201,525,575,056
  5. Step 5: Solve for x
    x = 201,525,575,056/207,852
  6. Step 6: Final answer
    x = 969,562.84

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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.