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Finding the Third Proportional to 270,479.75 and 584,314.75

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Solution

The third proportional to 270,479.75 and 584,314.75 is: 1,262,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,479.75 : 584,314.75 = 584,314.75 : x
  2. Step 2: Convert to fraction form
    270,479.75/584,314.75 = 584,314.75/x
  3. Step 3: Cross multiply
    270,479.75x = 584,314.75 × 584,314.75
  4. Step 4: Simplify right side
    270,479.75x = 341,423,727,067.56
  5. Step 5: Solve for x
    x = 341,423,727,067.56/270,479.75
  6. Step 6: Final answer
    x = 1,262,289.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.