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Finding the Third Proportional to 232,864.24 and 480,593.25

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Solution

The third proportional to 232,864.24 and 480,593.25 is: 991,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,864.24 : 480,593.25 = 480,593.25 : x
  2. Step 2: Convert to fraction form
    232,864.24/480,593.25 = 480,593.25/x
  3. Step 3: Cross multiply
    232,864.24x = 480,593.25 × 480,593.25
  4. Step 4: Simplify right side
    232,864.24x = 230,969,871,945.56
  5. Step 5: Solve for x
    x = 230,969,871,945.56/232,864.24
  6. Step 6: Final answer
    x = 991,864.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.