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Finding the Third Proportional to 538,844.50 and 845,284

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Solution

The third proportional to 538,844.50 and 845,284 is: 1,325,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,844.50 : 845,284 = 845,284 : x
  2. Step 2: Convert to fraction form
    538,844.50/845,284 = 845,284/x
  3. Step 3: Cross multiply
    538,844.50x = 845,284 × 845,284
  4. Step 4: Simplify right side
    538,844.50x = 714,505,040,656
  5. Step 5: Solve for x
    x = 714,505,040,656/538,844.50
  6. Step 6: Final answer
    x = 1,325,994.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.