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Finding the Third Proportional to 263,051 and 579,723

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Solution

The third proportional to 263,051 and 579,723 is: 1,277,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,051 : 579,723 = 579,723 : x
  2. Step 2: Convert to fraction form
    263,051/579,723 = 579,723/x
  3. Step 3: Cross multiply
    263,051x = 579,723 × 579,723
  4. Step 4: Simplify right side
    263,051x = 336,078,756,729
  5. Step 5: Solve for x
    x = 336,078,756,729/263,051
  6. Step 6: Final answer
    x = 1,277,618.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.