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Finding the Third Proportional to 274,143.97 and 611,322.50

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Solution

The third proportional to 274,143.97 and 611,322.50 is: 1,363,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,143.97 : 611,322.50 = 611,322.50 : x
  2. Step 2: Convert to fraction form
    274,143.97/611,322.50 = 611,322.50/x
  3. Step 3: Cross multiply
    274,143.97x = 611,322.50 × 611,322.50
  4. Step 4: Simplify right side
    274,143.97x = 373,715,203,782.21
  5. Step 5: Solve for x
    x = 373,715,203,782.21/274,143.97
  6. Step 6: Final answer
    x = 1,363,207.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.