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Finding the Third Proportional to 261,919.50 and 562,071

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Solution

The third proportional to 261,919.50 and 562,071 is: 1,206,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,919.50 : 562,071 = 562,071 : x
  2. Step 2: Convert to fraction form
    261,919.50/562,071 = 562,071/x
  3. Step 3: Cross multiply
    261,919.50x = 562,071 × 562,071
  4. Step 4: Simplify right side
    261,919.50x = 315,923,809,041
  5. Step 5: Solve for x
    x = 315,923,809,041/261,919.50
  6. Step 6: Final answer
    x = 1,206,186.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.