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Finding the Third Proportional to 256,694 and 618,407

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Solution

The third proportional to 256,694 and 618,407 is: 1,489,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,694 : 618,407 = 618,407 : x
  2. Step 2: Convert to fraction form
    256,694/618,407 = 618,407/x
  3. Step 3: Cross multiply
    256,694x = 618,407 × 618,407
  4. Step 4: Simplify right side
    256,694x = 382,427,217,649
  5. Step 5: Solve for x
    x = 382,427,217,649/256,694
  6. Step 6: Final answer
    x = 1,489,817.52

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.