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Finding the Third Proportional to 262,176 and 574,375.50

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Solution

The third proportional to 262,176 and 574,375.50 is: 1,258,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,176 : 574,375.50 = 574,375.50 : x
  2. Step 2: Convert to fraction form
    262,176/574,375.50 = 574,375.50/x
  3. Step 3: Cross multiply
    262,176x = 574,375.50 × 574,375.50
  4. Step 4: Simplify right side
    262,176x = 329,907,215,000.25
  5. Step 5: Solve for x
    x = 329,907,215,000.25/262,176
  6. Step 6: Final answer
    x = 1,258,342.54

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