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Finding the Third Proportional to 604,649.25 and 914,791.50

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Solution

The third proportional to 604,649.25 and 914,791.50 is: 1,384,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,649.25 : 914,791.50 = 914,791.50 : x
  2. Step 2: Convert to fraction form
    604,649.25/914,791.50 = 914,791.50/x
  3. Step 3: Cross multiply
    604,649.25x = 914,791.50 × 914,791.50
  4. Step 4: Simplify right side
    604,649.25x = 836,843,488,472.25
  5. Step 5: Solve for x
    x = 836,843,488,472.25/604,649.25
  6. Step 6: Final answer
    x = 1,384,014.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.