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Finding the Third Proportional to 513,195.75 and 739,239.75

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Solution

The third proportional to 513,195.75 and 739,239.75 is: 1,064,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,195.75 : 739,239.75 = 739,239.75 : x
  2. Step 2: Convert to fraction form
    513,195.75/739,239.75 = 739,239.75/x
  3. Step 3: Cross multiply
    513,195.75x = 739,239.75 × 739,239.75
  4. Step 4: Simplify right side
    513,195.75x = 546,475,407,980.06
  5. Step 5: Solve for x
    x = 546,475,407,980.06/513,195.75
  6. Step 6: Final answer
    x = 1,064,847.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.