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Finding the Third Proportional to 454,690.97 and 632,205.32

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Solution

The third proportional to 454,690.97 and 632,205.32 is: 879,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,690.97 : 632,205.32 = 632,205.32 : x
  2. Step 2: Convert to fraction form
    454,690.97/632,205.32 = 632,205.32/x
  3. Step 3: Cross multiply
    454,690.97x = 632,205.32 × 632,205.32
  4. Step 4: Simplify right side
    454,690.97x = 399,683,562,092.33
  5. Step 5: Solve for x
    x = 399,683,562,092.33/454,690.97
  6. Step 6: Final answer
    x = 879,022.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.