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Finding the Third Proportional to 648,198 and 860,134.50

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Solution

The third proportional to 648,198 and 860,134.50 is: 1,141,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,198 : 860,134.50 = 860,134.50 : x
  2. Step 2: Convert to fraction form
    648,198/860,134.50 = 860,134.50/x
  3. Step 3: Cross multiply
    648,198x = 860,134.50 × 860,134.50
  4. Step 4: Simplify right side
    648,198x = 739,831,358,090.25
  5. Step 5: Solve for x
    x = 739,831,358,090.25/648,198
  6. Step 6: Final answer
    x = 1,141,366.31

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.