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Finding the Third Proportional to 356,492 and 792,684

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Solution

The third proportional to 356,492 and 792,684 is: 1,762,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,492 : 792,684 = 792,684 : x
  2. Step 2: Convert to fraction form
    356,492/792,684 = 792,684/x
  3. Step 3: Cross multiply
    356,492x = 792,684 × 792,684
  4. Step 4: Simplify right side
    356,492x = 628,347,923,856
  5. Step 5: Solve for x
    x = 628,347,923,856/356,492
  6. Step 6: Final answer
    x = 1,762,586.32

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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.