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Finding the Third Proportional to 451,927.50 and 599,769

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Solution

The third proportional to 451,927.50 and 599,769 is: 795,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,927.50 : 599,769 = 599,769 : x
  2. Step 2: Convert to fraction form
    451,927.50/599,769 = 599,769/x
  3. Step 3: Cross multiply
    451,927.50x = 599,769 × 599,769
  4. Step 4: Simplify right side
    451,927.50x = 359,722,853,361
  5. Step 5: Solve for x
    x = 359,722,853,361/451,927.50
  6. Step 6: Final answer
    x = 795,974.69

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.