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Finding the Third Proportional to 244,669 and 518,740

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Solution

The third proportional to 244,669 and 518,740 is: 1,099,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,669 : 518,740 = 518,740 : x
  2. Step 2: Convert to fraction form
    244,669/518,740 = 518,740/x
  3. Step 3: Cross multiply
    244,669x = 518,740 × 518,740
  4. Step 4: Simplify right side
    244,669x = 269,091,187,600
  5. Step 5: Solve for x
    x = 269,091,187,600/244,669
  6. Step 6: Final answer
    x = 1,099,817.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.