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Finding the Third Proportional to 362,367 and 768,582

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Solution

The third proportional to 362,367 and 768,582 is: 1,630,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,367 : 768,582 = 768,582 : x
  2. Step 2: Convert to fraction form
    362,367/768,582 = 768,582/x
  3. Step 3: Cross multiply
    362,367x = 768,582 × 768,582
  4. Step 4: Simplify right side
    362,367x = 590,718,290,724
  5. Step 5: Solve for x
    x = 590,718,290,724/362,367
  6. Step 6: Final answer
    x = 1,630,165.80

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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.