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Finding the Third Proportional to 219,795 and 451,236

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Solution

The third proportional to 219,795 and 451,236 is: 926,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,795 : 451,236 = 451,236 : x
  2. Step 2: Convert to fraction form
    219,795/451,236 = 451,236/x
  3. Step 3: Cross multiply
    219,795x = 451,236 × 451,236
  4. Step 4: Simplify right side
    219,795x = 203,613,927,696
  5. Step 5: Solve for x
    x = 203,613,927,696/219,795
  6. Step 6: Final answer
    x = 926,381.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.