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Finding the Third Proportional to 237,434 and 505,754

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Solution

The third proportional to 237,434 and 505,754 is: 1,077,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,434 : 505,754 = 505,754 : x
  2. Step 2: Convert to fraction form
    237,434/505,754 = 505,754/x
  3. Step 3: Cross multiply
    237,434x = 505,754 × 505,754
  4. Step 4: Simplify right side
    237,434x = 255,787,108,516
  5. Step 5: Solve for x
    x = 255,787,108,516/237,434
  6. Step 6: Final answer
    x = 1,077,297.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.