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Finding the Third Proportional to 262,366 and 579,861

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Solution

The third proportional to 262,366 and 579,861 is: 1,281,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,366 : 579,861 = 579,861 : x
  2. Step 2: Convert to fraction form
    262,366/579,861 = 579,861/x
  3. Step 3: Cross multiply
    262,366x = 579,861 × 579,861
  4. Step 4: Simplify right side
    262,366x = 336,238,779,321
  5. Step 5: Solve for x
    x = 336,238,779,321/262,366
  6. Step 6: Final answer
    x = 1,281,563.84

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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.