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Finding the Third Proportional to 519,103.69 and 785,573.44

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Solution

The third proportional to 519,103.69 and 785,573.44 is: 1,188,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,103.69 : 785,573.44 = 785,573.44 : x
  2. Step 2: Convert to fraction form
    519,103.69/785,573.44 = 785,573.44/x
  3. Step 3: Cross multiply
    519,103.69x = 785,573.44 × 785,573.44
  4. Step 4: Simplify right side
    519,103.69x = 617,125,625,705.57
  5. Step 5: Solve for x
    x = 617,125,625,705.57/519,103.69
  6. Step 6: Final answer
    x = 1,188,829.21

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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.