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Finding the Third Proportional to 347,224.50 and 760,923

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Solution

The third proportional to 347,224.50 and 760,923 is: 1,667,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,224.50 : 760,923 = 760,923 : x
  2. Step 2: Convert to fraction form
    347,224.50/760,923 = 760,923/x
  3. Step 3: Cross multiply
    347,224.50x = 760,923 × 760,923
  4. Step 4: Simplify right side
    347,224.50x = 579,003,811,929
  5. Step 5: Solve for x
    x = 579,003,811,929/347,224.50
  6. Step 6: Final answer
    x = 1,667,520.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.