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Finding the Third Proportional to 472,926.75 and 720,324.75

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Solution

The third proportional to 472,926.75 and 720,324.75 is: 1,097,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,926.75 : 720,324.75 = 720,324.75 : x
  2. Step 2: Convert to fraction form
    472,926.75/720,324.75 = 720,324.75/x
  3. Step 3: Cross multiply
    472,926.75x = 720,324.75 × 720,324.75
  4. Step 4: Simplify right side
    472,926.75x = 518,867,745,462.56
  5. Step 5: Solve for x
    x = 518,867,745,462.56/472,926.75
  6. Step 6: Final answer
    x = 1,097,141.88

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