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Finding the Third Proportional to 382,185.84 and 591,012.07

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Solution

The third proportional to 382,185.84 and 591,012.07 is: 913,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,185.84 : 591,012.07 = 591,012.07 : x
  2. Step 2: Convert to fraction form
    382,185.84/591,012.07 = 591,012.07/x
  3. Step 3: Cross multiply
    382,185.84x = 591,012.07 × 591,012.07
  4. Step 4: Simplify right side
    382,185.84x = 349,295,267,255.07
  5. Step 5: Solve for x
    x = 349,295,267,255.07/382,185.84
  6. Step 6: Final answer
    x = 913,940.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.