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Finding the Third Proportional to 210,849 and 453,936

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Solution

The third proportional to 210,849 and 453,936 is: 977,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,849 : 453,936 = 453,936 : x
  2. Step 2: Convert to fraction form
    210,849/453,936 = 453,936/x
  3. Step 3: Cross multiply
    210,849x = 453,936 × 453,936
  4. Step 4: Simplify right side
    210,849x = 206,057,892,096
  5. Step 5: Solve for x
    x = 206,057,892,096/210,849
  6. Step 6: Final answer
    x = 977,277.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.