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Finding the Third Proportional to 602,151.75 and 825,684.75

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Solution

The third proportional to 602,151.75 and 825,684.75 is: 1,132,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,151.75 : 825,684.75 = 825,684.75 : x
  2. Step 2: Convert to fraction form
    602,151.75/825,684.75 = 825,684.75/x
  3. Step 3: Cross multiply
    602,151.75x = 825,684.75 × 825,684.75
  4. Step 4: Simplify right side
    602,151.75x = 681,755,306,382.56
  5. Step 5: Solve for x
    x = 681,755,306,382.56/602,151.75
  6. Step 6: Final answer
    x = 1,132,198.50

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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.