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Finding the Third Proportional to 262,446.75 and 574,769.25

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Solution

The third proportional to 262,446.75 and 574,769.25 is: 1,258,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,446.75 : 574,769.25 = 574,769.25 : x
  2. Step 2: Convert to fraction form
    262,446.75/574,769.25 = 574,769.25/x
  3. Step 3: Cross multiply
    262,446.75x = 574,769.25 × 574,769.25
  4. Step 4: Simplify right side
    262,446.75x = 330,359,690,745.56
  5. Step 5: Solve for x
    x = 330,359,690,745.56/262,446.75
  6. Step 6: Final answer
    x = 1,258,768.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.