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Finding the Third Proportional to 567,722 and 789,375

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Solution

The third proportional to 567,722 and 789,375 is: 1,097,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,722 : 789,375 = 789,375 : x
  2. Step 2: Convert to fraction form
    567,722/789,375 = 789,375/x
  3. Step 3: Cross multiply
    567,722x = 789,375 × 789,375
  4. Step 4: Simplify right side
    567,722x = 623,112,890,625
  5. Step 5: Solve for x
    x = 623,112,890,625/567,722
  6. Step 6: Final answer
    x = 1,097,566.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.