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Finding the Third Proportional to 362,362 and 768,571

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Solution

The third proportional to 362,362 and 768,571 is: 1,630,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,362 : 768,571 = 768,571 : x
  2. Step 2: Convert to fraction form
    362,362/768,571 = 768,571/x
  3. Step 3: Cross multiply
    362,362x = 768,571 × 768,571
  4. Step 4: Simplify right side
    362,362x = 590,701,382,041
  5. Step 5: Solve for x
    x = 590,701,382,041/362,362
  6. Step 6: Final answer
    x = 1,630,141.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.