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Finding the Third Proportional to 256,321 and 550,586

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Solution

The third proportional to 256,321 and 550,586 is: 1,182,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,321 : 550,586 = 550,586 : x
  2. Step 2: Convert to fraction form
    256,321/550,586 = 550,586/x
  3. Step 3: Cross multiply
    256,321x = 550,586 × 550,586
  4. Step 4: Simplify right side
    256,321x = 303,144,943,396
  5. Step 5: Solve for x
    x = 303,144,943,396/256,321
  6. Step 6: Final answer
    x = 1,182,676.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.