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Finding the Third Proportional to 474,241.50 and 723,179.25

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Solution

The third proportional to 474,241.50 and 723,179.25 is: 1,102,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,241.50 : 723,179.25 = 723,179.25 : x
  2. Step 2: Convert to fraction form
    474,241.50/723,179.25 = 723,179.25/x
  3. Step 3: Cross multiply
    474,241.50x = 723,179.25 × 723,179.25
  4. Step 4: Simplify right side
    474,241.50x = 522,988,227,630.56
  5. Step 5: Solve for x
    x = 522,988,227,630.56/474,241.50
  6. Step 6: Final answer
    x = 1,102,788.83

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Why These Related Problems?

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