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Finding the Third Proportional to 236,982 and 519,886

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Solution

The third proportional to 236,982 and 519,886 is: 1,140,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,982 : 519,886 = 519,886 : x
  2. Step 2: Convert to fraction form
    236,982/519,886 = 519,886/x
  3. Step 3: Cross multiply
    236,982x = 519,886 × 519,886
  4. Step 4: Simplify right side
    236,982x = 270,281,452,996
  5. Step 5: Solve for x
    x = 270,281,452,996/236,982
  6. Step 6: Final answer
    x = 1,140,514.69

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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.