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Finding the Third Proportional to 281,205 and 605,083

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Solution

The third proportional to 281,205 and 605,083 is: 1,301,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,205 : 605,083 = 605,083 : x
  2. Step 2: Convert to fraction form
    281,205/605,083 = 605,083/x
  3. Step 3: Cross multiply
    281,205x = 605,083 × 605,083
  4. Step 4: Simplify right side
    281,205x = 366,125,436,889
  5. Step 5: Solve for x
    x = 366,125,436,889/281,205
  6. Step 6: Final answer
    x = 1,301,987.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.