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Finding the Third Proportional to 541,842.19 and 843,788.25

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Solution

The third proportional to 541,842.19 and 843,788.25 is: 1,313,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,842.19 : 843,788.25 = 843,788.25 : x
  2. Step 2: Convert to fraction form
    541,842.19/843,788.25 = 843,788.25/x
  3. Step 3: Cross multiply
    541,842.19x = 843,788.25 × 843,788.25
  4. Step 4: Simplify right side
    541,842.19x = 711,978,610,838.06
  5. Step 5: Solve for x
    x = 711,978,610,838.06/541,842.19
  6. Step 6: Final answer
    x = 1,313,996.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.