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Finding the Third Proportional to 262,334 and 579,800

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Solution

The third proportional to 262,334 and 579,800 is: 1,281,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,334 : 579,800 = 579,800 : x
  2. Step 2: Convert to fraction form
    262,334/579,800 = 579,800/x
  3. Step 3: Cross multiply
    262,334x = 579,800 × 579,800
  4. Step 4: Simplify right side
    262,334x = 336,168,040,000
  5. Step 5: Solve for x
    x = 336,168,040,000/262,334
  6. Step 6: Final answer
    x = 1,281,450.52

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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.