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Finding the Third Proportional to 325,914.75 and 438,570

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Solution

The third proportional to 325,914.75 and 438,570 is: 590,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,914.75 : 438,570 = 438,570 : x
  2. Step 2: Convert to fraction form
    325,914.75/438,570 = 438,570/x
  3. Step 3: Cross multiply
    325,914.75x = 438,570 × 438,570
  4. Step 4: Simplify right side
    325,914.75x = 192,343,644,900
  5. Step 5: Solve for x
    x = 192,343,644,900/325,914.75
  6. Step 6: Final answer
    x = 590,165.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.