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Finding the Third Proportional to 279,812 and 610,846.50

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Solution

The third proportional to 279,812 and 610,846.50 is: 1,333,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,812 : 610,846.50 = 610,846.50 : x
  2. Step 2: Convert to fraction form
    279,812/610,846.50 = 610,846.50/x
  3. Step 3: Cross multiply
    279,812x = 610,846.50 × 610,846.50
  4. Step 4: Simplify right side
    279,812x = 373,133,446,562.25
  5. Step 5: Solve for x
    x = 373,133,446,562.25/279,812
  6. Step 6: Final answer
    x = 1,333,514.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.