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Finding the Third Proportional to 379,444.50 and 568,984.50

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Solution

The third proportional to 379,444.50 and 568,984.50 is: 853,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,444.50 : 568,984.50 = 568,984.50 : x
  2. Step 2: Convert to fraction form
    379,444.50/568,984.50 = 568,984.50/x
  3. Step 3: Cross multiply
    379,444.50x = 568,984.50 × 568,984.50
  4. Step 4: Simplify right side
    379,444.50x = 323,743,361,240.25
  5. Step 5: Solve for x
    x = 323,743,361,240.25/379,444.50
  6. Step 6: Final answer
    x = 853,203.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.