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Finding the Third Proportional to 340,198.31 and 730,827.56

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Solution

The third proportional to 340,198.31 and 730,827.56 is: 1,569,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,198.31 : 730,827.56 = 730,827.56 : x
  2. Step 2: Convert to fraction form
    340,198.31/730,827.56 = 730,827.56/x
  3. Step 3: Cross multiply
    340,198.31x = 730,827.56 × 730,827.56
  4. Step 4: Simplify right side
    340,198.31x = 534,108,926,109.69
  5. Step 5: Solve for x
    x = 534,108,926,109.69/340,198.31
  6. Step 6: Final answer
    x = 1,569,992.87

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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.