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Finding the Third Proportional to 244,026 and 519,156

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Solution

The third proportional to 244,026 and 519,156 is: 1,104,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,026 : 519,156 = 519,156 : x
  2. Step 2: Convert to fraction form
    244,026/519,156 = 519,156/x
  3. Step 3: Cross multiply
    244,026x = 519,156 × 519,156
  4. Step 4: Simplify right side
    244,026x = 269,522,952,336
  5. Step 5: Solve for x
    x = 269,522,952,336/244,026
  6. Step 6: Final answer
    x = 1,104,484.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.