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Finding the Third Proportional to 214,856 and 467,944

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Solution

The third proportional to 214,856 and 467,944 is: 1,019,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,856 : 467,944 = 467,944 : x
  2. Step 2: Convert to fraction form
    214,856/467,944 = 467,944/x
  3. Step 3: Cross multiply
    214,856x = 467,944 × 467,944
  4. Step 4: Simplify right side
    214,856x = 218,971,587,136
  5. Step 5: Solve for x
    x = 218,971,587,136/214,856
  6. Step 6: Final answer
    x = 1,019,155.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.