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Finding the Third Proportional to 207,811 and 448,052

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Solution

The third proportional to 207,811 and 448,052 is: 966,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,811 : 448,052 = 448,052 : x
  2. Step 2: Convert to fraction form
    207,811/448,052 = 448,052/x
  3. Step 3: Cross multiply
    207,811x = 448,052 × 448,052
  4. Step 4: Simplify right side
    207,811x = 200,750,594,704
  5. Step 5: Solve for x
    x = 200,750,594,704/207,811
  6. Step 6: Final answer
    x = 966,024.87

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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.