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Finding the Third Proportional to 356,569 and 792,861

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Solution

The third proportional to 356,569 and 792,861 is: 1,762,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,569 : 792,861 = 792,861 : x
  2. Step 2: Convert to fraction form
    356,569/792,861 = 792,861/x
  3. Step 3: Cross multiply
    356,569x = 792,861 × 792,861
  4. Step 4: Simplify right side
    356,569x = 628,628,565,321
  5. Step 5: Solve for x
    x = 628,628,565,321/356,569
  6. Step 6: Final answer
    x = 1,762,992.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.