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Finding the Third Proportional to 227,233 and 492,075

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Solution

The third proportional to 227,233 and 492,075 is: 1,065,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,233 : 492,075 = 492,075 : x
  2. Step 2: Convert to fraction form
    227,233/492,075 = 492,075/x
  3. Step 3: Cross multiply
    227,233x = 492,075 × 492,075
  4. Step 4: Simplify right side
    227,233x = 242,137,805,625
  5. Step 5: Solve for x
    x = 242,137,805,625/227,233
  6. Step 6: Final answer
    x = 1,065,592.61

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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.