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Finding the Third Proportional to 256,677 and 529,614

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Solution

The third proportional to 256,677 and 529,614 is: 1,092,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,677 : 529,614 = 529,614 : x
  2. Step 2: Convert to fraction form
    256,677/529,614 = 529,614/x
  3. Step 3: Cross multiply
    256,677x = 529,614 × 529,614
  4. Step 4: Simplify right side
    256,677x = 280,490,988,996
  5. Step 5: Solve for x
    x = 280,490,988,996/256,677
  6. Step 6: Final answer
    x = 1,092,778.04

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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.