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Finding the Third Proportional to 262,342 and 579,812

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Solution

The third proportional to 262,342 and 579,812 is: 1,281,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,342 : 579,812 = 579,812 : x
  2. Step 2: Convert to fraction form
    262,342/579,812 = 579,812/x
  3. Step 3: Cross multiply
    262,342x = 579,812 × 579,812
  4. Step 4: Simplify right side
    262,342x = 336,181,955,344
  5. Step 5: Solve for x
    x = 336,181,955,344/262,342
  6. Step 6: Final answer
    x = 1,281,464.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.