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Finding the Third Proportional to 338,200 and 714,104

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Solution

The third proportional to 338,200 and 714,104 is: 1,507,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,200 : 714,104 = 714,104 : x
  2. Step 2: Convert to fraction form
    338,200/714,104 = 714,104/x
  3. Step 3: Cross multiply
    338,200x = 714,104 × 714,104
  4. Step 4: Simplify right side
    338,200x = 509,944,522,816
  5. Step 5: Solve for x
    x = 509,944,522,816/338,200
  6. Step 6: Final answer
    x = 1,507,819.41

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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.