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Finding the Third Proportional to 339,966 and 720,310.50

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Solution

The third proportional to 339,966 and 720,310.50 is: 1,526,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,966 : 720,310.50 = 720,310.50 : x
  2. Step 2: Convert to fraction form
    339,966/720,310.50 = 720,310.50/x
  3. Step 3: Cross multiply
    339,966x = 720,310.50 × 720,310.50
  4. Step 4: Simplify right side
    339,966x = 518,847,216,410.25
  5. Step 5: Solve for x
    x = 518,847,216,410.25/339,966
  6. Step 6: Final answer
    x = 1,526,173.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.