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Finding the Third Proportional to 236,466 and 518,919.75

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Solution

The third proportional to 236,466 and 518,919.75 is: 1,138,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,466 : 518,919.75 = 518,919.75 : x
  2. Step 2: Convert to fraction form
    236,466/518,919.75 = 518,919.75/x
  3. Step 3: Cross multiply
    236,466x = 518,919.75 × 518,919.75
  4. Step 4: Simplify right side
    236,466x = 269,277,706,940.06
  5. Step 5: Solve for x
    x = 269,277,706,940.06/236,466
  6. Step 6: Final answer
    x = 1,138,758.67

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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.