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Finding the Third Proportional to 337,940.75 and 523,088.25

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Solution

The third proportional to 337,940.75 and 523,088.25 is: 809,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,940.75 : 523,088.25 = 523,088.25 : x
  2. Step 2: Convert to fraction form
    337,940.75/523,088.25 = 523,088.25/x
  3. Step 3: Cross multiply
    337,940.75x = 523,088.25 × 523,088.25
  4. Step 4: Simplify right side
    337,940.75x = 273,621,317,288.06
  5. Step 5: Solve for x
    x = 273,621,317,288.06/337,940.75
  6. Step 6: Final answer
    x = 809,672.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.