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Finding the Third Proportional to 393,236 and 860,064

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Solution

The third proportional to 393,236 and 860,064 is: 1,881,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,236 : 860,064 = 860,064 : x
  2. Step 2: Convert to fraction form
    393,236/860,064 = 860,064/x
  3. Step 3: Cross multiply
    393,236x = 860,064 × 860,064
  4. Step 4: Simplify right side
    393,236x = 739,710,084,096
  5. Step 5: Solve for x
    x = 739,710,084,096/393,236
  6. Step 6: Final answer
    x = 1,881,084.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.