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Finding the Third Proportional to 244,944 and 520,608

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Solution

The third proportional to 244,944 and 520,608 is: 1,106,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,944 : 520,608 = 520,608 : x
  2. Step 2: Convert to fraction form
    244,944/520,608 = 520,608/x
  3. Step 3: Cross multiply
    244,944x = 520,608 × 520,608
  4. Step 4: Simplify right side
    244,944x = 271,032,689,664
  5. Step 5: Solve for x
    x = 271,032,689,664/244,944
  6. Step 6: Final answer
    x = 1,106,508.79

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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.