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Finding the Third Proportional to 264,881 and 579,817

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Solution

The third proportional to 264,881 and 579,817 is: 1,269,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,881 : 579,817 = 579,817 : x
  2. Step 2: Convert to fraction form
    264,881/579,817 = 579,817/x
  3. Step 3: Cross multiply
    264,881x = 579,817 × 579,817
  4. Step 4: Simplify right side
    264,881x = 336,187,753,489
  5. Step 5: Solve for x
    x = 336,187,753,489/264,881
  6. Step 6: Final answer
    x = 1,269,202.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.