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Finding the Third Proportional to 256,611 and 529,584

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Solution

The third proportional to 256,611 and 529,584 is: 1,092,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,611 : 529,584 = 529,584 : x
  2. Step 2: Convert to fraction form
    256,611/529,584 = 529,584/x
  3. Step 3: Cross multiply
    256,611x = 529,584 × 529,584
  4. Step 4: Simplify right side
    256,611x = 280,459,213,056
  5. Step 5: Solve for x
    x = 280,459,213,056/256,611
  6. Step 6: Final answer
    x = 1,092,935.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.