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Finding the Third Proportional to 270,864 and 583,350

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Solution

The third proportional to 270,864 and 583,350 is: 1,256,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,864 : 583,350 = 583,350 : x
  2. Step 2: Convert to fraction form
    270,864/583,350 = 583,350/x
  3. Step 3: Cross multiply
    270,864x = 583,350 × 583,350
  4. Step 4: Simplify right side
    270,864x = 340,297,222,500
  5. Step 5: Solve for x
    x = 340,297,222,500/270,864
  6. Step 6: Final answer
    x = 1,256,339.80

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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.