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Finding the Third Proportional to 279,118.50 and 605,496

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Solution

The third proportional to 279,118.50 and 605,496 is: 1,313,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,118.50 : 605,496 = 605,496 : x
  2. Step 2: Convert to fraction form
    279,118.50/605,496 = 605,496/x
  3. Step 3: Cross multiply
    279,118.50x = 605,496 × 605,496
  4. Step 4: Simplify right side
    279,118.50x = 366,625,406,016
  5. Step 5: Solve for x
    x = 366,625,406,016/279,118.50
  6. Step 6: Final answer
    x = 1,313,511.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.