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Finding the Third Proportional to 337,941.75 and 523,089.75

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Solution

The third proportional to 337,941.75 and 523,089.75 is: 809,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,941.75 : 523,089.75 = 523,089.75 : x
  2. Step 2: Convert to fraction form
    337,941.75/523,089.75 = 523,089.75/x
  3. Step 3: Cross multiply
    337,941.75x = 523,089.75 × 523,089.75
  4. Step 4: Simplify right side
    337,941.75x = 273,622,886,555.06
  5. Step 5: Solve for x
    x = 273,622,886,555.06/337,941.75
  6. Step 6: Final answer
    x = 809,674.70

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