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Finding the Third Proportional to 270,092 and 580,216

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Solution

The third proportional to 270,092 and 580,216 is: 1,246,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,092 : 580,216 = 580,216 : x
  2. Step 2: Convert to fraction form
    270,092/580,216 = 580,216/x
  3. Step 3: Cross multiply
    270,092x = 580,216 × 580,216
  4. Step 4: Simplify right side
    270,092x = 336,650,606,656
  5. Step 5: Solve for x
    x = 336,650,606,656/270,092
  6. Step 6: Final answer
    x = 1,246,429.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.