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Finding the Third Proportional to 279,096 and 581,808

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Solution

The third proportional to 279,096 and 581,808 is: 1,212,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,096 : 581,808 = 581,808 : x
  2. Step 2: Convert to fraction form
    279,096/581,808 = 581,808/x
  3. Step 3: Cross multiply
    279,096x = 581,808 × 581,808
  4. Step 4: Simplify right side
    279,096x = 338,500,548,864
  5. Step 5: Solve for x
    x = 338,500,548,864/279,096
  6. Step 6: Final answer
    x = 1,212,846.29

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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.