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Finding the Third Proportional to 236,904 and 518,094

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Solution

The third proportional to 236,904 and 518,094 is: 1,133,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,904 : 518,094 = 518,094 : x
  2. Step 2: Convert to fraction form
    236,904/518,094 = 518,094/x
  3. Step 3: Cross multiply
    236,904x = 518,094 × 518,094
  4. Step 4: Simplify right side
    236,904x = 268,421,392,836
  5. Step 5: Solve for x
    x = 268,421,392,836/236,904
  6. Step 6: Final answer
    x = 1,133,038.67

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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.