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Finding the Third Proportional to 612,099 and 860,446.50

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Solution

The third proportional to 612,099 and 860,446.50 is: 1,209,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,099 : 860,446.50 = 860,446.50 : x
  2. Step 2: Convert to fraction form
    612,099/860,446.50 = 860,446.50/x
  3. Step 3: Cross multiply
    612,099x = 860,446.50 × 860,446.50
  4. Step 4: Simplify right side
    612,099x = 740,368,179,362.25
  5. Step 5: Solve for x
    x = 740,368,179,362.25/612,099
  6. Step 6: Final answer
    x = 1,209,556.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.