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Finding the Third Proportional to 269,917.31 and 590,682.38

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Solution

The third proportional to 269,917.31 and 590,682.38 is: 1,292,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,917.31 : 590,682.38 = 590,682.38 : x
  2. Step 2: Convert to fraction form
    269,917.31/590,682.38 = 590,682.38/x
  3. Step 3: Cross multiply
    269,917.31x = 590,682.38 × 590,682.38
  4. Step 4: Simplify right side
    269,917.31x = 348,905,668,135.64
  5. Step 5: Solve for x
    x = 348,905,668,135.64/269,917.31
  6. Step 6: Final answer
    x = 1,292,639.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.