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Finding the Third Proportional to 602,178.75 and 825,725.25

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Solution

The third proportional to 602,178.75 and 825,725.25 is: 1,132,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,178.75 : 825,725.25 = 825,725.25 : x
  2. Step 2: Convert to fraction form
    602,178.75/825,725.25 = 825,725.25/x
  3. Step 3: Cross multiply
    602,178.75x = 825,725.25 × 825,725.25
  4. Step 4: Simplify right side
    602,178.75x = 681,822,188,487.56
  5. Step 5: Solve for x
    x = 681,822,188,487.56/602,178.75
  6. Step 6: Final answer
    x = 1,132,258.80

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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.