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Finding the Third Proportional to 331,509 and 723,741

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Solution

The third proportional to 331,509 and 723,741 is: 1,580,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,509 : 723,741 = 723,741 : x
  2. Step 2: Convert to fraction form
    331,509/723,741 = 723,741/x
  3. Step 3: Cross multiply
    331,509x = 723,741 × 723,741
  4. Step 4: Simplify right side
    331,509x = 523,801,035,081
  5. Step 5: Solve for x
    x = 523,801,035,081/331,509
  6. Step 6: Final answer
    x = 1,580,050.72

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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.