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Finding the Third Proportional to 256,355 and 561,916

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Solution

The third proportional to 256,355 and 561,916 is: 1,231,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,355 : 561,916 = 561,916 : x
  2. Step 2: Convert to fraction form
    256,355/561,916 = 561,916/x
  3. Step 3: Cross multiply
    256,355x = 561,916 × 561,916
  4. Step 4: Simplify right side
    256,355x = 315,749,591,056
  5. Step 5: Solve for x
    x = 315,749,591,056/256,355
  6. Step 6: Final answer
    x = 1,231,688.83

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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.