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Finding the Third Proportional to 602,012.75 and 825,514.75

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Solution

The third proportional to 602,012.75 and 825,514.75 is: 1,131,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,012.75 : 825,514.75 = 825,514.75 : x
  2. Step 2: Convert to fraction form
    602,012.75/825,514.75 = 825,514.75/x
  3. Step 3: Cross multiply
    602,012.75x = 825,514.75 × 825,514.75
  4. Step 4: Simplify right side
    602,012.75x = 681,474,602,467.56
  5. Step 5: Solve for x
    x = 681,474,602,467.56/602,012.75
  6. Step 6: Final answer
    x = 1,131,993.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.