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Finding the Third Proportional to 228,970 and 496,075

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Solution

The third proportional to 228,970 and 496,075 is: 1,074,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,970 : 496,075 = 496,075 : x
  2. Step 2: Convert to fraction form
    228,970/496,075 = 496,075/x
  3. Step 3: Cross multiply
    228,970x = 496,075 × 496,075
  4. Step 4: Simplify right side
    228,970x = 246,090,405,625
  5. Step 5: Solve for x
    x = 246,090,405,625/228,970
  6. Step 6: Final answer
    x = 1,074,771.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.