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Finding the Third Proportional to 262,396 and 568,280

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Solution

The third proportional to 262,396 and 568,280 is: 1,230,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,396 : 568,280 = 568,280 : x
  2. Step 2: Convert to fraction form
    262,396/568,280 = 568,280/x
  3. Step 3: Cross multiply
    262,396x = 568,280 × 568,280
  4. Step 4: Simplify right side
    262,396x = 322,942,158,400
  5. Step 5: Solve for x
    x = 322,942,158,400/262,396
  6. Step 6: Final answer
    x = 1,230,743.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.