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Finding the Third Proportional to 446,920.50 and 661,689

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Solution

The third proportional to 446,920.50 and 661,689 is: 979,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,920.50 : 661,689 = 661,689 : x
  2. Step 2: Convert to fraction form
    446,920.50/661,689 = 661,689/x
  3. Step 3: Cross multiply
    446,920.50x = 661,689 × 661,689
  4. Step 4: Simplify right side
    446,920.50x = 437,832,332,721
  5. Step 5: Solve for x
    x = 437,832,332,721/446,920.50
  6. Step 6: Final answer
    x = 979,664.91

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