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Finding the Third Proportional to 474,257.25 and 723,249

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Solution

The third proportional to 474,257.25 and 723,249 is: 1,102,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,257.25 : 723,249 = 723,249 : x
  2. Step 2: Convert to fraction form
    474,257.25/723,249 = 723,249/x
  3. Step 3: Cross multiply
    474,257.25x = 723,249 × 723,249
  4. Step 4: Simplify right side
    474,257.25x = 523,089,116,001
  5. Step 5: Solve for x
    x = 523,089,116,001/474,257.25
  6. Step 6: Final answer
    x = 1,102,964.93

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Why These Related Problems?

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