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Finding the Third Proportional to 268,257 and 558,543

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Solution

The third proportional to 268,257 and 558,543 is: 1,162,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,257 : 558,543 = 558,543 : x
  2. Step 2: Convert to fraction form
    268,257/558,543 = 558,543/x
  3. Step 3: Cross multiply
    268,257x = 558,543 × 558,543
  4. Step 4: Simplify right side
    268,257x = 311,970,282,849
  5. Step 5: Solve for x
    x = 311,970,282,849/268,257
  6. Step 6: Final answer
    x = 1,162,953.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.