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Finding the Third Proportional to 338,601 and 722,202

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Solution

The third proportional to 338,601 and 722,202 is: 1,540,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,601 : 722,202 = 722,202 : x
  2. Step 2: Convert to fraction form
    338,601/722,202 = 722,202/x
  3. Step 3: Cross multiply
    338,601x = 722,202 × 722,202
  4. Step 4: Simplify right side
    338,601x = 521,575,728,804
  5. Step 5: Solve for x
    x = 521,575,728,804/338,601
  6. Step 6: Final answer
    x = 1,540,384.49

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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.