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Finding the Third Proportional to 256,005 and 558,593

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Solution

The third proportional to 256,005 and 558,593 is: 1,218,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,005 : 558,593 = 558,593 : x
  2. Step 2: Convert to fraction form
    256,005/558,593 = 558,593/x
  3. Step 3: Cross multiply
    256,005x = 558,593 × 558,593
  4. Step 4: Simplify right side
    256,005x = 312,026,139,649
  5. Step 5: Solve for x
    x = 312,026,139,649/256,005
  6. Step 6: Final answer
    x = 1,218,828.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.