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Finding the Third Proportional to 325,491.75 and 497,616.75

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Solution

The third proportional to 325,491.75 and 497,616.75 is: 760,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,491.75 : 497,616.75 = 497,616.75 : x
  2. Step 2: Convert to fraction form
    325,491.75/497,616.75 = 497,616.75/x
  3. Step 3: Cross multiply
    325,491.75x = 497,616.75 × 497,616.75
  4. Step 4: Simplify right side
    325,491.75x = 247,622,429,880.56
  5. Step 5: Solve for x
    x = 247,622,429,880.56/325,491.75
  6. Step 6: Final answer
    x = 760,764.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.