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Finding the Third Proportional to 276,194 and 594,668

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Solution

The third proportional to 276,194 and 594,668 is: 1,280,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,194 : 594,668 = 594,668 : x
  2. Step 2: Convert to fraction form
    276,194/594,668 = 594,668/x
  3. Step 3: Cross multiply
    276,194x = 594,668 × 594,668
  4. Step 4: Simplify right side
    276,194x = 353,630,030,224
  5. Step 5: Solve for x
    x = 353,630,030,224/276,194
  6. Step 6: Final answer
    x = 1,280,368.26

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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.