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Finding the Third Proportional to 500,233 and 748,975

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Solution

The third proportional to 500,233 and 748,975 is: 1,121,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,233 : 748,975 = 748,975 : x
  2. Step 2: Convert to fraction form
    500,233/748,975 = 748,975/x
  3. Step 3: Cross multiply
    500,233x = 748,975 × 748,975
  4. Step 4: Simplify right side
    500,233x = 560,963,550,625
  5. Step 5: Solve for x
    x = 560,963,550,625/500,233
  6. Step 6: Final answer
    x = 1,121,404.53

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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.