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Finding the Third Proportional to 347,687.44 and 526,406.34

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Solution

The third proportional to 347,687.44 and 526,406.34 is: 796,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,687.44 : 526,406.34 = 526,406.34 : x
  2. Step 2: Convert to fraction form
    347,687.44/526,406.34 = 526,406.34/x
  3. Step 3: Cross multiply
    347,687.44x = 526,406.34 × 526,406.34
  4. Step 4: Simplify right side
    347,687.44x = 277,103,638,740.24
  5. Step 5: Solve for x
    x = 277,103,638,740.24/347,687.44
  6. Step 6: Final answer
    x = 796,990.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.