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Finding the Third Proportional to 398,338.50 and 860,064

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Solution

The third proportional to 398,338.50 and 860,064 is: 1,856,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,338.50 : 860,064 = 860,064 : x
  2. Step 2: Convert to fraction form
    398,338.50/860,064 = 860,064/x
  3. Step 3: Cross multiply
    398,338.50x = 860,064 × 860,064
  4. Step 4: Simplify right side
    398,338.50x = 739,710,084,096
  5. Step 5: Solve for x
    x = 739,710,084,096/398,338.50
  6. Step 6: Final answer
    x = 1,856,988.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.