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Finding the Third Proportional to 252,973.50 and 541,809

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Solution

The third proportional to 252,973.50 and 541,809 is: 1,160,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,973.50 : 541,809 = 541,809 : x
  2. Step 2: Convert to fraction form
    252,973.50/541,809 = 541,809/x
  3. Step 3: Cross multiply
    252,973.50x = 541,809 × 541,809
  4. Step 4: Simplify right side
    252,973.50x = 293,556,992,481
  5. Step 5: Solve for x
    x = 293,556,992,481/252,973.50
  6. Step 6: Final answer
    x = 1,160,425.86

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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.