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Finding the Third Proportional to 260,244 and 388,200

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Solution

The third proportional to 260,244 and 388,200 is: 579,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,244 : 388,200 = 388,200 : x
  2. Step 2: Convert to fraction form
    260,244/388,200 = 388,200/x
  3. Step 3: Cross multiply
    260,244x = 388,200 × 388,200
  4. Step 4: Simplify right side
    260,244x = 150,699,240,000
  5. Step 5: Solve for x
    x = 150,699,240,000/260,244
  6. Step 6: Final answer
    x = 579,069.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.