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Finding the Third Proportional to 268,704 and 579,366

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Solution

The third proportional to 268,704 and 579,366 is: 1,249,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,704 : 579,366 = 579,366 : x
  2. Step 2: Convert to fraction form
    268,704/579,366 = 579,366/x
  3. Step 3: Cross multiply
    268,704x = 579,366 × 579,366
  4. Step 4: Simplify right side
    268,704x = 335,664,961,956
  5. Step 5: Solve for x
    x = 335,664,961,956/268,704
  6. Step 6: Final answer
    x = 1,249,199.72

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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.