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Finding the Third Proportional to 519,279.75 and 785,868.75

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Solution

The third proportional to 519,279.75 and 785,868.75 is: 1,189,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,279.75 : 785,868.75 = 785,868.75 : x
  2. Step 2: Convert to fraction form
    519,279.75/785,868.75 = 785,868.75/x
  3. Step 3: Cross multiply
    519,279.75x = 785,868.75 × 785,868.75
  4. Step 4: Simplify right side
    519,279.75x = 617,589,692,226.56
  5. Step 5: Solve for x
    x = 617,589,692,226.56/519,279.75
  6. Step 6: Final answer
    x = 1,189,319.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.