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Finding the Third Proportional to 382,786.50 and 835,612.50

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Solution

The third proportional to 382,786.50 and 835,612.50 is: 1,824,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,786.50 : 835,612.50 = 835,612.50 : x
  2. Step 2: Convert to fraction form
    382,786.50/835,612.50 = 835,612.50/x
  3. Step 3: Cross multiply
    382,786.50x = 835,612.50 × 835,612.50
  4. Step 4: Simplify right side
    382,786.50x = 698,248,250,156.25
  5. Step 5: Solve for x
    x = 698,248,250,156.25/382,786.50
  6. Step 6: Final answer
    x = 1,824,119.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.