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Finding the Third Proportional to 208,664 and 449,776

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Solution

The third proportional to 208,664 and 449,776 is: 969,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,664 : 449,776 = 449,776 : x
  2. Step 2: Convert to fraction form
    208,664/449,776 = 449,776/x
  3. Step 3: Cross multiply
    208,664x = 449,776 × 449,776
  4. Step 4: Simplify right side
    208,664x = 202,298,450,176
  5. Step 5: Solve for x
    x = 202,298,450,176/208,664
  6. Step 6: Final answer
    x = 969,493.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.