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Finding the Third Proportional to 279,795 and 599,511

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Solution

The third proportional to 279,795 and 599,511 is: 1,284,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,795 : 599,511 = 599,511 : x
  2. Step 2: Convert to fraction form
    279,795/599,511 = 599,511/x
  3. Step 3: Cross multiply
    279,795x = 599,511 × 599,511
  4. Step 4: Simplify right side
    279,795x = 359,413,439,121
  5. Step 5: Solve for x
    x = 359,413,439,121/279,795
  6. Step 6: Final answer
    x = 1,284,559.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.