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Finding the Third Proportional to 205,776 and 450,944

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Solution

The third proportional to 205,776 and 450,944 is: 988,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,776 : 450,944 = 450,944 : x
  2. Step 2: Convert to fraction form
    205,776/450,944 = 450,944/x
  3. Step 3: Cross multiply
    205,776x = 450,944 × 450,944
  4. Step 4: Simplify right side
    205,776x = 203,350,491,136
  5. Step 5: Solve for x
    x = 203,350,491,136/205,776
  6. Step 6: Final answer
    x = 988,212.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.