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Finding the Third Proportional to 568,525.50 and 851,914.13

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Solution

The third proportional to 568,525.50 and 851,914.13 is: 1,276,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,525.50 : 851,914.13 = 851,914.13 : x
  2. Step 2: Convert to fraction form
    568,525.50/851,914.13 = 851,914.13/x
  3. Step 3: Cross multiply
    568,525.50x = 851,914.13 × 851,914.13
  4. Step 4: Simplify right side
    568,525.50x = 725,757,676,374.52
  5. Step 5: Solve for x
    x = 725,757,676,374.52/568,525.50
  6. Step 6: Final answer
    x = 1,276,561.34

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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.