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Finding the Third Proportional to 457,994.25 and 632,863.13

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Solution

The third proportional to 457,994.25 and 632,863.13 is: 874,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,994.25 : 632,863.13 = 632,863.13 : x
  2. Step 2: Convert to fraction form
    457,994.25/632,863.13 = 632,863.13/x
  3. Step 3: Cross multiply
    457,994.25x = 632,863.13 × 632,863.13
  4. Step 4: Simplify right side
    457,994.25x = 400,515,734,984.77
  5. Step 5: Solve for x
    x = 400,515,734,984.77/457,994.25
  6. Step 6: Final answer
    x = 874,499.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.