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Finding the Third Proportional to 335,124 and 693,576

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Solution

The third proportional to 335,124 and 693,576 is: 1,435,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,124 : 693,576 = 693,576 : x
  2. Step 2: Convert to fraction form
    335,124/693,576 = 693,576/x
  3. Step 3: Cross multiply
    335,124x = 693,576 × 693,576
  4. Step 4: Simplify right side
    335,124x = 481,047,667,776
  5. Step 5: Solve for x
    x = 481,047,667,776/335,124
  6. Step 6: Final answer
    x = 1,435,431.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.