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Finding the Third Proportional to 279,908 and 599,747

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Solution

The third proportional to 279,908 and 599,747 is: 1,285,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,908 : 599,747 = 599,747 : x
  2. Step 2: Convert to fraction form
    279,908/599,747 = 599,747/x
  3. Step 3: Cross multiply
    279,908x = 599,747 × 599,747
  4. Step 4: Simplify right side
    279,908x = 359,696,464,009
  5. Step 5: Solve for x
    x = 359,696,464,009/279,908
  6. Step 6: Final answer
    x = 1,285,052.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.