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Finding the Third Proportional to 259,928 and 558,534

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Solution

The third proportional to 259,928 and 558,534 is: 1,200,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,928 : 558,534 = 558,534 : x
  2. Step 2: Convert to fraction form
    259,928/558,534 = 558,534/x
  3. Step 3: Cross multiply
    259,928x = 558,534 × 558,534
  4. Step 4: Simplify right side
    259,928x = 311,960,229,156
  5. Step 5: Solve for x
    x = 311,960,229,156/259,928
  6. Step 6: Final answer
    x = 1,200,179.39

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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.