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Finding the Third Proportional to 263,462 and 568,396

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Solution

The third proportional to 263,462 and 568,396 is: 1,226,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,462 : 568,396 = 568,396 : x
  2. Step 2: Convert to fraction form
    263,462/568,396 = 568,396/x
  3. Step 3: Cross multiply
    263,462x = 568,396 × 568,396
  4. Step 4: Simplify right side
    263,462x = 323,074,012,816
  5. Step 5: Solve for x
    x = 323,074,012,816/263,462
  6. Step 6: Final answer
    x = 1,226,264.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.