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Finding the Third Proportional to 382,303.50 and 823,191

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Solution

The third proportional to 382,303.50 and 823,191 is: 1,772,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,303.50 : 823,191 = 823,191 : x
  2. Step 2: Convert to fraction form
    382,303.50/823,191 = 823,191/x
  3. Step 3: Cross multiply
    382,303.50x = 823,191 × 823,191
  4. Step 4: Simplify right side
    382,303.50x = 677,643,422,481
  5. Step 5: Solve for x
    x = 677,643,422,481/382,303.50
  6. Step 6: Final answer
    x = 1,772,527.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.