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Finding the Third Proportional to 208,037 and 490,932

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Solution

The third proportional to 208,037 and 490,932 is: 1,158,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,037 : 490,932 = 490,932 : x
  2. Step 2: Convert to fraction form
    208,037/490,932 = 490,932/x
  3. Step 3: Cross multiply
    208,037x = 490,932 × 490,932
  4. Step 4: Simplify right side
    208,037x = 241,014,228,624
  5. Step 5: Solve for x
    x = 241,014,228,624/208,037
  6. Step 6: Final answer
    x = 1,158,516.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.