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Finding the Third Proportional to 265,951.69 and 576,144.56

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Solution

The third proportional to 265,951.69 and 576,144.56 is: 1,248,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,951.69 : 576,144.56 = 576,144.56 : x
  2. Step 2: Convert to fraction form
    265,951.69/576,144.56 = 576,144.56/x
  3. Step 3: Cross multiply
    265,951.69x = 576,144.56 × 576,144.56
  4. Step 4: Simplify right side
    265,951.69x = 331,942,556,898.32
  5. Step 5: Solve for x
    x = 331,942,556,898.32/265,951.69
  6. Step 6: Final answer
    x = 1,248,131.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.