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Finding the Third Proportional to 262,257.75 and 396,515.25

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Solution

The third proportional to 262,257.75 and 396,515.25 is: 599,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,257.75 : 396,515.25 = 396,515.25 : x
  2. Step 2: Convert to fraction form
    262,257.75/396,515.25 = 396,515.25/x
  3. Step 3: Cross multiply
    262,257.75x = 396,515.25 × 396,515.25
  4. Step 4: Simplify right side
    262,257.75x = 157,224,343,482.56
  5. Step 5: Solve for x
    x = 157,224,343,482.56/262,257.75
  6. Step 6: Final answer
    x = 599,503.14

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Why These Related Problems?

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