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Finding the Third Proportional to 213,274.13 and 493,738.31

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Solution

The third proportional to 213,274.13 and 493,738.31 is: 1,143,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,274.13 : 493,738.31 = 493,738.31 : x
  2. Step 2: Convert to fraction form
    213,274.13/493,738.31 = 493,738.31/x
  3. Step 3: Cross multiply
    213,274.13x = 493,738.31 × 493,738.31
  4. Step 4: Simplify right side
    213,274.13x = 243,777,521,230.35
  5. Step 5: Solve for x
    x = 243,777,521,230.35/213,274.13
  6. Step 6: Final answer
    x = 1,143,024.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.