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Finding the Third Proportional to 342,672.75 and 739,676.25

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Solution

The third proportional to 342,672.75 and 739,676.25 is: 1,596,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,672.75 : 739,676.25 = 739,676.25 : x
  2. Step 2: Convert to fraction form
    342,672.75/739,676.25 = 739,676.25/x
  3. Step 3: Cross multiply
    342,672.75x = 739,676.25 × 739,676.25
  4. Step 4: Simplify right side
    342,672.75x = 547,120,954,814.06
  5. Step 5: Solve for x
    x = 547,120,954,814.06/342,672.75
  6. Step 6: Final answer
    x = 1,596,628.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.