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Finding the Third Proportional to 362,476 and 842,744

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Solution

The third proportional to 362,476 and 842,744 is: 1,959,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,476 : 842,744 = 842,744 : x
  2. Step 2: Convert to fraction form
    362,476/842,744 = 842,744/x
  3. Step 3: Cross multiply
    362,476x = 842,744 × 842,744
  4. Step 4: Simplify right side
    362,476x = 710,217,449,536
  5. Step 5: Solve for x
    x = 710,217,449,536/362,476
  6. Step 6: Final answer
    x = 1,959,350.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.