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Finding the Third Proportional to 236,956 and 521,944

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Solution

The third proportional to 236,956 and 521,944 is: 1,149,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,956 : 521,944 = 521,944 : x
  2. Step 2: Convert to fraction form
    236,956/521,944 = 521,944/x
  3. Step 3: Cross multiply
    236,956x = 521,944 × 521,944
  4. Step 4: Simplify right side
    236,956x = 272,425,539,136
  5. Step 5: Solve for x
    x = 272,425,539,136/236,956
  6. Step 6: Final answer
    x = 1,149,688.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.