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Finding the Third Proportional to 394,576 and 869,584

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Solution

The third proportional to 394,576 and 869,584 is: 1,916,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,576 : 869,584 = 869,584 : x
  2. Step 2: Convert to fraction form
    394,576/869,584 = 869,584/x
  3. Step 3: Cross multiply
    394,576x = 869,584 × 869,584
  4. Step 4: Simplify right side
    394,576x = 756,176,333,056
  5. Step 5: Solve for x
    x = 756,176,333,056/394,576
  6. Step 6: Final answer
    x = 1,916,427.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.