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Finding the Third Proportional to 207,119 and 446,831

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Solution

The third proportional to 207,119 and 446,831 is: 963,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,119 : 446,831 = 446,831 : x
  2. Step 2: Convert to fraction form
    207,119/446,831 = 446,831/x
  3. Step 3: Cross multiply
    207,119x = 446,831 × 446,831
  4. Step 4: Simplify right side
    207,119x = 199,657,942,561
  5. Step 5: Solve for x
    x = 199,657,942,561/207,119
  6. Step 6: Final answer
    x = 963,976.95

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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.