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Finding the Third Proportional to 309,094.31 and 659,014.31

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Solution

The third proportional to 309,094.31 and 659,014.31 is: 1,405,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,094.31 : 659,014.31 = 659,014.31 : x
  2. Step 2: Convert to fraction form
    309,094.31/659,014.31 = 659,014.31/x
  3. Step 3: Cross multiply
    309,094.31x = 659,014.31 × 659,014.31
  4. Step 4: Simplify right side
    309,094.31x = 434,299,864,079.85
  5. Step 5: Solve for x
    x = 434,299,864,079.85/309,094.31
  6. Step 6: Final answer
    x = 1,405,072.32

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.