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Finding the Third Proportional to 347,867.79 and 755,221.22

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Solution

The third proportional to 347,867.79 and 755,221.22 is: 1,639,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,867.79 : 755,221.22 = 755,221.22 : x
  2. Step 2: Convert to fraction form
    347,867.79/755,221.22 = 755,221.22/x
  3. Step 3: Cross multiply
    347,867.79x = 755,221.22 × 755,221.22
  4. Step 4: Simplify right side
    347,867.79x = 570,359,089,250.24
  5. Step 5: Solve for x
    x = 570,359,089,250.24/347,867.79
  6. Step 6: Final answer
    x = 1,639,585.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.