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Finding the Third Proportional to 211,256 and 458,944

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Solution

The third proportional to 211,256 and 458,944 is: 997,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,256 : 458,944 = 458,944 : x
  2. Step 2: Convert to fraction form
    211,256/458,944 = 458,944/x
  3. Step 3: Cross multiply
    211,256x = 458,944 × 458,944
  4. Step 4: Simplify right side
    211,256x = 210,629,595,136
  5. Step 5: Solve for x
    x = 210,629,595,136/211,256
  6. Step 6: Final answer
    x = 997,034.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.