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Finding the Third Proportional to 236,676 and 514,824

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Solution

The third proportional to 236,676 and 514,824 is: 1,119,859.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,676 : 514,824 = 514,824 : x
  2. Step 2: Convert to fraction form
    236,676/514,824 = 514,824/x
  3. Step 3: Cross multiply
    236,676x = 514,824 × 514,824
  4. Step 4: Simplify right side
    236,676x = 265,043,750,976
  5. Step 5: Solve for x
    x = 265,043,750,976/236,676
  6. Step 6: Final answer
    x = 1,119,859.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.