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Finding the Third Proportional to 426,200 and 647,075

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Solution

The third proportional to 426,200 and 647,075 is: 982,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,200 : 647,075 = 647,075 : x
  2. Step 2: Convert to fraction form
    426,200/647,075 = 647,075/x
  3. Step 3: Cross multiply
    426,200x = 647,075 × 647,075
  4. Step 4: Simplify right side
    426,200x = 418,706,055,625
  5. Step 5: Solve for x
    x = 418,706,055,625/426,200
  6. Step 6: Final answer
    x = 982,416.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.