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Finding the Third Proportional to 273,056.75 and 598,601.75

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Solution

The third proportional to 273,056.75 and 598,601.75 is: 1,312,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,056.75 : 598,601.75 = 598,601.75 : x
  2. Step 2: Convert to fraction form
    273,056.75/598,601.75 = 598,601.75/x
  3. Step 3: Cross multiply
    273,056.75x = 598,601.75 × 598,601.75
  4. Step 4: Simplify right side
    273,056.75x = 358,324,055,103.06
  5. Step 5: Solve for x
    x = 358,324,055,103.06/273,056.75
  6. Step 6: Final answer
    x = 1,312,269.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.