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Finding the Third Proportional to 446,846 and 661,589

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Solution

The third proportional to 446,846 and 661,589 is: 979,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,846 : 661,589 = 661,589 : x
  2. Step 2: Convert to fraction form
    446,846/661,589 = 661,589/x
  3. Step 3: Cross multiply
    446,846x = 661,589 × 661,589
  4. Step 4: Simplify right side
    446,846x = 437,700,004,921
  5. Step 5: Solve for x
    x = 437,700,004,921/446,846
  6. Step 6: Final answer
    x = 979,532.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.