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Finding the Third Proportional to 361,920 and 756,832

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Solution

The third proportional to 361,920 and 756,832 is: 1,582,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,920 : 756,832 = 756,832 : x
  2. Step 2: Convert to fraction form
    361,920/756,832 = 756,832/x
  3. Step 3: Cross multiply
    361,920x = 756,832 × 756,832
  4. Step 4: Simplify right side
    361,920x = 572,794,676,224
  5. Step 5: Solve for x
    x = 572,794,676,224/361,920
  6. Step 6: Final answer
    x = 1,582,655.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.