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Finding the Third Proportional to 325,863 and 492,075

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Solution

The third proportional to 325,863 and 492,075 is: 743,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,863 : 492,075 = 492,075 : x
  2. Step 2: Convert to fraction form
    325,863/492,075 = 492,075/x
  3. Step 3: Cross multiply
    325,863x = 492,075 × 492,075
  4. Step 4: Simplify right side
    325,863x = 242,137,805,625
  5. Step 5: Solve for x
    x = 242,137,805,625/325,863
  6. Step 6: Final answer
    x = 743,066.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.