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Finding the Third Proportional to 385,839.86 and 573,163.08

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Solution

The third proportional to 385,839.86 and 573,163.08 is: 851,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,839.86 : 573,163.08 = 573,163.08 : x
  2. Step 2: Convert to fraction form
    385,839.86/573,163.08 = 573,163.08/x
  3. Step 3: Cross multiply
    385,839.86x = 573,163.08 × 573,163.08
  4. Step 4: Simplify right side
    385,839.86x = 328,515,915,804.91
  5. Step 5: Solve for x
    x = 328,515,915,804.91/385,839.86
  6. Step 6: Final answer
    x = 851,430.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.