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Finding the Third Proportional to 338,601.75 and 799,271.25

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Solution

The third proportional to 338,601.75 and 799,271.25 is: 1,886,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,601.75 : 799,271.25 = 799,271.25 : x
  2. Step 2: Convert to fraction form
    338,601.75/799,271.25 = 799,271.25/x
  3. Step 3: Cross multiply
    338,601.75x = 799,271.25 × 799,271.25
  4. Step 4: Simplify right side
    338,601.75x = 638,834,531,076.56
  5. Step 5: Solve for x
    x = 638,834,531,076.56/338,601.75
  6. Step 6: Final answer
    x = 1,886,684.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.