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Finding the Third Proportional to 237,048 and 513,444

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Solution

The third proportional to 237,048 and 513,444 is: 1,112,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,048 : 513,444 = 513,444 : x
  2. Step 2: Convert to fraction form
    237,048/513,444 = 513,444/x
  3. Step 3: Cross multiply
    237,048x = 513,444 × 513,444
  4. Step 4: Simplify right side
    237,048x = 263,624,741,136
  5. Step 5: Solve for x
    x = 263,624,741,136/237,048
  6. Step 6: Final answer
    x = 1,112,115.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.