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Finding the Third Proportional to 255,794 and 562,348

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Solution

The third proportional to 255,794 and 562,348 is: 1,236,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,794 : 562,348 = 562,348 : x
  2. Step 2: Convert to fraction form
    255,794/562,348 = 562,348/x
  3. Step 3: Cross multiply
    255,794x = 562,348 × 562,348
  4. Step 4: Simplify right side
    255,794x = 316,235,273,104
  5. Step 5: Solve for x
    x = 316,235,273,104/255,794
  6. Step 6: Final answer
    x = 1,236,288.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.