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Finding the Third Proportional to 269,634 and 579,972

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Solution

The third proportional to 269,634 and 579,972 is: 1,247,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,634 : 579,972 = 579,972 : x
  2. Step 2: Convert to fraction form
    269,634/579,972 = 579,972/x
  3. Step 3: Cross multiply
    269,634x = 579,972 × 579,972
  4. Step 4: Simplify right side
    269,634x = 336,367,520,784
  5. Step 5: Solve for x
    x = 336,367,520,784/269,634
  6. Step 6: Final answer
    x = 1,247,496.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.