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Finding the Third Proportional to 331,241.63 and 714,940.88

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Solution

The third proportional to 331,241.63 and 714,940.88 is: 1,543,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,241.63 : 714,940.88 = 714,940.88 : x
  2. Step 2: Convert to fraction form
    331,241.63/714,940.88 = 714,940.88/x
  3. Step 3: Cross multiply
    331,241.63x = 714,940.88 × 714,940.88
  4. Step 4: Simplify right side
    331,241.63x = 511,140,454,745.77
  5. Step 5: Solve for x
    x = 511,140,454,745.77/331,241.63
  6. Step 6: Final answer
    x = 1,543,104.54

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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.