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Finding the Third Proportional to 334,192 and 720,080

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Solution

The third proportional to 334,192 and 720,080 is: 1,551,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,192 : 720,080 = 720,080 : x
  2. Step 2: Convert to fraction form
    334,192/720,080 = 720,080/x
  3. Step 3: Cross multiply
    334,192x = 720,080 × 720,080
  4. Step 4: Simplify right side
    334,192x = 518,515,206,400
  5. Step 5: Solve for x
    x = 518,515,206,400/334,192
  6. Step 6: Final answer
    x = 1,551,548.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.