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Finding the Third Proportional to 337,944.75 and 523,095

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Solution

The third proportional to 337,944.75 and 523,095 is: 809,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,944.75 : 523,095 = 523,095 : x
  2. Step 2: Convert to fraction form
    337,944.75/523,095 = 523,095/x
  3. Step 3: Cross multiply
    337,944.75x = 523,095 × 523,095
  4. Step 4: Simplify right side
    337,944.75x = 273,628,379,025
  5. Step 5: Solve for x
    x = 273,628,379,025/337,944.75
  6. Step 6: Final answer
    x = 809,683.77

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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.