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Finding the Third Proportional to 365,043 and 848,095.50

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Solution

The third proportional to 365,043 and 848,095.50 is: 1,970,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,043 : 848,095.50 = 848,095.50 : x
  2. Step 2: Convert to fraction form
    365,043/848,095.50 = 848,095.50/x
  3. Step 3: Cross multiply
    365,043x = 848,095.50 × 848,095.50
  4. Step 4: Simplify right side
    365,043x = 719,265,977,120.25
  5. Step 5: Solve for x
    x = 719,265,977,120.25/365,043
  6. Step 6: Final answer
    x = 1,970,359.59

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.