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Finding the Third Proportional to 344,061.75 and 505,940.63

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Solution

The third proportional to 344,061.75 and 505,940.63 is: 743,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,061.75 : 505,940.63 = 505,940.63 : x
  2. Step 2: Convert to fraction form
    344,061.75/505,940.63 = 505,940.63/x
  3. Step 3: Cross multiply
    344,061.75x = 505,940.63 × 505,940.63
  4. Step 4: Simplify right side
    344,061.75x = 255,975,916,025.39
  5. Step 5: Solve for x
    x = 255,975,916,025.39/344,061.75
  6. Step 6: Final answer
    x = 743,982.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.