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Finding the Third Proportional to 224,589 and 491,379

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Solution

The third proportional to 224,589 and 491,379 is: 1,075,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,589 : 491,379 = 491,379 : x
  2. Step 2: Convert to fraction form
    224,589/491,379 = 491,379/x
  3. Step 3: Cross multiply
    224,589x = 491,379 × 491,379
  4. Step 4: Simplify right side
    224,589x = 241,453,321,641
  5. Step 5: Solve for x
    x = 241,453,321,641/224,589
  6. Step 6: Final answer
    x = 1,075,089.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.