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Finding the Third Proportional to 393,596 and 815,200

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Solution

The third proportional to 393,596 and 815,200 is: 1,688,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,596 : 815,200 = 815,200 : x
  2. Step 2: Convert to fraction form
    393,596/815,200 = 815,200/x
  3. Step 3: Cross multiply
    393,596x = 815,200 × 815,200
  4. Step 4: Simplify right side
    393,596x = 664,551,040,000
  5. Step 5: Solve for x
    x = 664,551,040,000/393,596
  6. Step 6: Final answer
    x = 1,688,409.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.