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Finding the Third Proportional to 567,999 and 853,456.50

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Solution

The third proportional to 567,999 and 853,456.50 is: 1,282,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,999 : 853,456.50 = 853,456.50 : x
  2. Step 2: Convert to fraction form
    567,999/853,456.50 = 853,456.50/x
  3. Step 3: Cross multiply
    567,999x = 853,456.50 × 853,456.50
  4. Step 4: Simplify right side
    567,999x = 728,387,997,392.25
  5. Step 5: Solve for x
    x = 728,387,997,392.25/567,999
  6. Step 6: Final answer
    x = 1,282,375.49

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