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Finding the Third Proportional to 407,887 and 573,375

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Solution

The third proportional to 407,887 and 573,375 is: 806,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,887 : 573,375 = 573,375 : x
  2. Step 2: Convert to fraction form
    407,887/573,375 = 573,375/x
  3. Step 3: Cross multiply
    407,887x = 573,375 × 573,375
  4. Step 4: Simplify right side
    407,887x = 328,758,890,625
  5. Step 5: Solve for x
    x = 328,758,890,625/407,887
  6. Step 6: Final answer
    x = 806,004.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.