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Finding the Third Proportional to 236,297 and 518,524

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Solution

The third proportional to 236,297 and 518,524 is: 1,137,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,297 : 518,524 = 518,524 : x
  2. Step 2: Convert to fraction form
    236,297/518,524 = 518,524/x
  3. Step 3: Cross multiply
    236,297x = 518,524 × 518,524
  4. Step 4: Simplify right side
    236,297x = 268,867,138,576
  5. Step 5: Solve for x
    x = 268,867,138,576/236,297
  6. Step 6: Final answer
    x = 1,137,835.60

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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.