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Finding the Third Proportional to 362,583 and 768,388

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Solution

The third proportional to 362,583 and 768,388 is: 1,628,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,583 : 768,388 = 768,388 : x
  2. Step 2: Convert to fraction form
    362,583/768,388 = 768,388/x
  3. Step 3: Cross multiply
    362,583x = 768,388 × 768,388
  4. Step 4: Simplify right side
    362,583x = 590,420,118,544
  5. Step 5: Solve for x
    x = 590,420,118,544/362,583
  6. Step 6: Final answer
    x = 1,628,372.31

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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.