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Finding the Third Proportional to 384,487.50 and 825,891

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Solution

The third proportional to 384,487.50 and 825,891 is: 1,774,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,487.50 : 825,891 = 825,891 : x
  2. Step 2: Convert to fraction form
    384,487.50/825,891 = 825,891/x
  3. Step 3: Cross multiply
    384,487.50x = 825,891 × 825,891
  4. Step 4: Simplify right side
    384,487.50x = 682,095,943,881
  5. Step 5: Solve for x
    x = 682,095,943,881/384,487.50
  6. Step 6: Final answer
    x = 1,774,039.32

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