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Finding the Third Proportional to 377,366 and 565,993

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Solution

The third proportional to 377,366 and 565,993 is: 848,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,366 : 565,993 = 565,993 : x
  2. Step 2: Convert to fraction form
    377,366/565,993 = 565,993/x
  3. Step 3: Cross multiply
    377,366x = 565,993 × 565,993
  4. Step 4: Simplify right side
    377,366x = 320,348,076,049
  5. Step 5: Solve for x
    x = 320,348,076,049/377,366
  6. Step 6: Final answer
    x = 848,905.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.