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Finding the Third Proportional to 233,578.69 and 509,365.97

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Solution

The third proportional to 233,578.69 and 509,365.97 is: 1,110,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,578.69 : 509,365.97 = 509,365.97 : x
  2. Step 2: Convert to fraction form
    233,578.69/509,365.97 = 509,365.97/x
  3. Step 3: Cross multiply
    233,578.69x = 509,365.97 × 509,365.97
  4. Step 4: Simplify right side
    233,578.69x = 259,453,690,120.63
  5. Step 5: Solve for x
    x = 259,453,690,120.63/233,578.69
  6. Step 6: Final answer
    x = 1,110,776.39

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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.