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Finding the Third Proportional to 259,648.50 and 616,315.50

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Solution

The third proportional to 259,648.50 and 616,315.50 is: 1,462,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,648.50 : 616,315.50 = 616,315.50 : x
  2. Step 2: Convert to fraction form
    259,648.50/616,315.50 = 616,315.50/x
  3. Step 3: Cross multiply
    259,648.50x = 616,315.50 × 616,315.50
  4. Step 4: Simplify right side
    259,648.50x = 379,844,795,540.25
  5. Step 5: Solve for x
    x = 379,844,795,540.25/259,648.50
  6. Step 6: Final answer
    x = 1,462,919.28

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.