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Finding the Third Proportional to 335,166.75 and 726,615

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Solution

The third proportional to 335,166.75 and 726,615 is: 1,575,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,166.75 : 726,615 = 726,615 : x
  2. Step 2: Convert to fraction form
    335,166.75/726,615 = 726,615/x
  3. Step 3: Cross multiply
    335,166.75x = 726,615 × 726,615
  4. Step 4: Simplify right side
    335,166.75x = 527,969,358,225
  5. Step 5: Solve for x
    x = 527,969,358,225/335,166.75
  6. Step 6: Final answer
    x = 1,575,243.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.