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Finding the Third Proportional to 236,445 and 518,826

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Solution

The third proportional to 236,445 and 518,826 is: 1,138,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,445 : 518,826 = 518,826 : x
  2. Step 2: Convert to fraction form
    236,445/518,826 = 518,826/x
  3. Step 3: Cross multiply
    236,445x = 518,826 × 518,826
  4. Step 4: Simplify right side
    236,445x = 269,180,418,276
  5. Step 5: Solve for x
    x = 269,180,418,276/236,445
  6. Step 6: Final answer
    x = 1,138,448.34

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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.