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Finding the Third Proportional to 244,530 and 518,499

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Solution

The third proportional to 244,530 and 518,499 is: 1,099,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,530 : 518,499 = 518,499 : x
  2. Step 2: Convert to fraction form
    244,530/518,499 = 518,499/x
  3. Step 3: Cross multiply
    244,530x = 518,499 × 518,499
  4. Step 4: Simplify right side
    244,530x = 268,841,213,001
  5. Step 5: Solve for x
    x = 268,841,213,001/244,530
  6. Step 6: Final answer
    x = 1,099,420.17

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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.