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Finding the Third Proportional to 338,598 and 722,196

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Solution

The third proportional to 338,598 and 722,196 is: 1,540,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,598 : 722,196 = 722,196 : x
  2. Step 2: Convert to fraction form
    338,598/722,196 = 722,196/x
  3. Step 3: Cross multiply
    338,598x = 722,196 × 722,196
  4. Step 4: Simplify right side
    338,598x = 521,567,062,416
  5. Step 5: Solve for x
    x = 521,567,062,416/338,598
  6. Step 6: Final answer
    x = 1,540,372.54

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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.