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Finding the Third Proportional to 236,804 and 520,264

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Solution

The third proportional to 236,804 and 520,264 is: 1,143,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,804 : 520,264 = 520,264 : x
  2. Step 2: Convert to fraction form
    236,804/520,264 = 520,264/x
  3. Step 3: Cross multiply
    236,804x = 520,264 × 520,264
  4. Step 4: Simplify right side
    236,804x = 270,674,629,696
  5. Step 5: Solve for x
    x = 270,674,629,696/236,804
  6. Step 6: Final answer
    x = 1,143,032.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.