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Finding the Third Proportional to 339,634.27 and 719,693.86

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Solution

The third proportional to 339,634.27 and 719,693.86 is: 1,525,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,634.27 : 719,693.86 = 719,693.86 : x
  2. Step 2: Convert to fraction form
    339,634.27/719,693.86 = 719,693.86/x
  3. Step 3: Cross multiply
    339,634.27x = 719,693.86 × 719,693.86
  4. Step 4: Simplify right side
    339,634.27x = 517,959,251,222.08
  5. Step 5: Solve for x
    x = 517,959,251,222.08/339,634.27
  6. Step 6: Final answer
    x = 1,525,050.04

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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.