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Finding the Third Proportional to 501,999.75 and 764,766

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Solution

The third proportional to 501,999.75 and 764,766 is: 1,165,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,999.75 : 764,766 = 764,766 : x
  2. Step 2: Convert to fraction form
    501,999.75/764,766 = 764,766/x
  3. Step 3: Cross multiply
    501,999.75x = 764,766 × 764,766
  4. Step 4: Simplify right side
    501,999.75x = 584,867,034,756
  5. Step 5: Solve for x
    x = 584,867,034,756/501,999.75
  6. Step 6: Final answer
    x = 1,165,074.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.