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Finding the Third Proportional to 356,894 and 792,520

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Solution

The third proportional to 356,894 and 792,520 is: 1,759,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,894 : 792,520 = 792,520 : x
  2. Step 2: Convert to fraction form
    356,894/792,520 = 792,520/x
  3. Step 3: Cross multiply
    356,894x = 792,520 × 792,520
  4. Step 4: Simplify right side
    356,894x = 628,087,950,400
  5. Step 5: Solve for x
    x = 628,087,950,400/356,894
  6. Step 6: Final answer
    x = 1,759,872.54

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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.