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Finding the Third Proportional to 301,105.48 and 432,795.34

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Solution

The third proportional to 301,105.48 and 432,795.34 is: 622,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,105.48 : 432,795.34 = 432,795.34 : x
  2. Step 2: Convert to fraction form
    301,105.48/432,795.34 = 432,795.34/x
  3. Step 3: Cross multiply
    301,105.48x = 432,795.34 × 432,795.34
  4. Step 4: Simplify right side
    301,105.48x = 187,311,806,190.48
  5. Step 5: Solve for x
    x = 187,311,806,190.48/301,105.48
  6. Step 6: Final answer
    x = 622,080.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.