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Finding the Third Proportional to 370,759 and 809,476

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Solution

The third proportional to 370,759 and 809,476 is: 1,767,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,759 : 809,476 = 809,476 : x
  2. Step 2: Convert to fraction form
    370,759/809,476 = 809,476/x
  3. Step 3: Cross multiply
    370,759x = 809,476 × 809,476
  4. Step 4: Simplify right side
    370,759x = 655,251,394,576
  5. Step 5: Solve for x
    x = 655,251,394,576/370,759
  6. Step 6: Final answer
    x = 1,767,324.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.