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Finding the Third Proportional to 230,578 and 504,896

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Solution

The third proportional to 230,578 and 504,896 is: 1,105,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,578 : 504,896 = 504,896 : x
  2. Step 2: Convert to fraction form
    230,578/504,896 = 504,896/x
  3. Step 3: Cross multiply
    230,578x = 504,896 × 504,896
  4. Step 4: Simplify right side
    230,578x = 254,919,970,816
  5. Step 5: Solve for x
    x = 254,919,970,816/230,578
  6. Step 6: Final answer
    x = 1,105,569.36

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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.