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Finding the Third Proportional to 331,524 and 723,772

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Solution

The third proportional to 331,524 and 723,772 is: 1,580,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,524 : 723,772 = 723,772 : x
  2. Step 2: Convert to fraction form
    331,524/723,772 = 723,772/x
  3. Step 3: Cross multiply
    331,524x = 723,772 × 723,772
  4. Step 4: Simplify right side
    331,524x = 523,845,907,984
  5. Step 5: Solve for x
    x = 523,845,907,984/331,524
  6. Step 6: Final answer
    x = 1,580,114.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.