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Finding the Third Proportional to 229,791.50 and 496,478

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Solution

The third proportional to 229,791.50 and 496,478 is: 1,072,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,791.50 : 496,478 = 496,478 : x
  2. Step 2: Convert to fraction form
    229,791.50/496,478 = 496,478/x
  3. Step 3: Cross multiply
    229,791.50x = 496,478 × 496,478
  4. Step 4: Simplify right side
    229,791.50x = 246,490,404,484
  5. Step 5: Solve for x
    x = 246,490,404,484/229,791.50
  6. Step 6: Final answer
    x = 1,072,669.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.