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Finding the Third Proportional to 279,612 and 607,824

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Solution

The third proportional to 279,612 and 607,824 is: 1,321,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,612 : 607,824 = 607,824 : x
  2. Step 2: Convert to fraction form
    279,612/607,824 = 607,824/x
  3. Step 3: Cross multiply
    279,612x = 607,824 × 607,824
  4. Step 4: Simplify right side
    279,612x = 369,450,014,976
  5. Step 5: Solve for x
    x = 369,450,014,976/279,612
  6. Step 6: Final answer
    x = 1,321,295.28

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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.