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Finding the Third Proportional to 252,917.44 and 541,806.47

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Solution

The third proportional to 252,917.44 and 541,806.47 is: 1,160,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,917.44 : 541,806.47 = 541,806.47 : x
  2. Step 2: Convert to fraction form
    252,917.44/541,806.47 = 541,806.47/x
  3. Step 3: Cross multiply
    252,917.44x = 541,806.47 × 541,806.47
  4. Step 4: Simplify right side
    252,917.44x = 293,554,249,579.35
  5. Step 5: Solve for x
    x = 293,554,249,579.35/252,917.44
  6. Step 6: Final answer
    x = 1,160,672.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.