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Finding the Third Proportional to 338,584 and 722,168

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Solution

The third proportional to 338,584 and 722,168 is: 1,540,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,584 : 722,168 = 722,168 : x
  2. Step 2: Convert to fraction form
    338,584/722,168 = 722,168/x
  3. Step 3: Cross multiply
    338,584x = 722,168 × 722,168
  4. Step 4: Simplify right side
    338,584x = 521,526,620,224
  5. Step 5: Solve for x
    x = 521,526,620,224/338,584
  6. Step 6: Final answer
    x = 1,540,316.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.