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Finding the Third Proportional to 236,454 and 518,856

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Solution

The third proportional to 236,454 and 518,856 is: 1,138,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,454 : 518,856 = 518,856 : x
  2. Step 2: Convert to fraction form
    236,454/518,856 = 518,856/x
  3. Step 3: Cross multiply
    236,454x = 518,856 × 518,856
  4. Step 4: Simplify right side
    236,454x = 269,211,548,736
  5. Step 5: Solve for x
    x = 269,211,548,736/236,454
  6. Step 6: Final answer
    x = 1,138,536.67

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Why These Related Problems?

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