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Finding the Third Proportional to 469,698.75 and 629,245.13

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Solution

The third proportional to 469,698.75 and 629,245.13 is: 842,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,698.75 : 629,245.13 = 629,245.13 : x
  2. Step 2: Convert to fraction form
    469,698.75/629,245.13 = 629,245.13/x
  3. Step 3: Cross multiply
    469,698.75x = 629,245.13 × 629,245.13
  4. Step 4: Simplify right side
    469,698.75x = 395,949,427,336.27
  5. Step 5: Solve for x
    x = 395,949,427,336.27/469,698.75
  6. Step 6: Final answer
    x = 842,985.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.