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Finding the Third Proportional to 362,366 and 768,580

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Solution

The third proportional to 362,366 and 768,580 is: 1,630,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,366 : 768,580 = 768,580 : x
  2. Step 2: Convert to fraction form
    362,366/768,580 = 768,580/x
  3. Step 3: Cross multiply
    362,366x = 768,580 × 768,580
  4. Step 4: Simplify right side
    362,366x = 590,715,216,400
  5. Step 5: Solve for x
    x = 590,715,216,400/362,366
  6. Step 6: Final answer
    x = 1,630,161.82

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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.