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Finding the Third Proportional to 338,198 and 714,100

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Solution

The third proportional to 338,198 and 714,100 is: 1,507,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,198 : 714,100 = 714,100 : x
  2. Step 2: Convert to fraction form
    338,198/714,100 = 714,100/x
  3. Step 3: Cross multiply
    338,198x = 714,100 × 714,100
  4. Step 4: Simplify right side
    338,198x = 509,938,810,000
  5. Step 5: Solve for x
    x = 509,938,810,000/338,198
  6. Step 6: Final answer
    x = 1,507,811.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.