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Finding the Third Proportional to 339,497.63 and 739,871.06

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Solution

The third proportional to 339,497.63 and 739,871.06 is: 1,612,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,497.63 : 739,871.06 = 739,871.06 : x
  2. Step 2: Convert to fraction form
    339,497.63/739,871.06 = 739,871.06/x
  3. Step 3: Cross multiply
    339,497.63x = 739,871.06 × 739,871.06
  4. Step 4: Simplify right side
    339,497.63x = 547,409,189,124.88
  5. Step 5: Solve for x
    x = 547,409,189,124.88/339,497.63
  6. Step 6: Final answer
    x = 1,612,409.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.