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Finding the Third Proportional to 382,750.50 and 835,431

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Solution

The third proportional to 382,750.50 and 835,431 is: 1,823,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,750.50 : 835,431 = 835,431 : x
  2. Step 2: Convert to fraction form
    382,750.50/835,431 = 835,431/x
  3. Step 3: Cross multiply
    382,750.50x = 835,431 × 835,431
  4. Step 4: Simplify right side
    382,750.50x = 697,944,955,761
  5. Step 5: Solve for x
    x = 697,944,955,761/382,750.50
  6. Step 6: Final answer
    x = 1,823,498.48

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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.