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Finding the Third Proportional to 265,121.44 and 560,950.31

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Solution

The third proportional to 265,121.44 and 560,950.31 is: 1,186,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,121.44 : 560,950.31 = 560,950.31 : x
  2. Step 2: Convert to fraction form
    265,121.44/560,950.31 = 560,950.31/x
  3. Step 3: Cross multiply
    265,121.44x = 560,950.31 × 560,950.31
  4. Step 4: Simplify right side
    265,121.44x = 314,665,253,093.85
  5. Step 5: Solve for x
    x = 314,665,253,093.85/265,121.44
  6. Step 6: Final answer
    x = 1,186,872.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.