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Finding the Third Proportional to 327,454 and 723,732

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Solution

The third proportional to 327,454 and 723,732 is: 1,599,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,454 : 723,732 = 723,732 : x
  2. Step 2: Convert to fraction form
    327,454/723,732 = 723,732/x
  3. Step 3: Cross multiply
    327,454x = 723,732 × 723,732
  4. Step 4: Simplify right side
    327,454x = 523,788,007,824
  5. Step 5: Solve for x
    x = 523,788,007,824/327,454
  6. Step 6: Final answer
    x = 1,599,577.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.