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Finding the Third Proportional to 602,057.25 and 825,584.63

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Solution

The third proportional to 602,057.25 and 825,584.63 is: 1,132,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,057.25 : 825,584.63 = 825,584.63 : x
  2. Step 2: Convert to fraction form
    602,057.25/825,584.63 = 825,584.63/x
  3. Step 3: Cross multiply
    602,057.25x = 825,584.63 × 825,584.63
  4. Step 4: Simplify right side
    602,057.25x = 681,589,973,036.39
  5. Step 5: Solve for x
    x = 681,589,973,036.39/602,057.25
  6. Step 6: Final answer
    x = 1,132,101.60

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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.