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Finding the Third Proportional to 237,744 and 512,938

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Solution

The third proportional to 237,744 and 512,938 is: 1,106,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,744 : 512,938 = 512,938 : x
  2. Step 2: Convert to fraction form
    237,744/512,938 = 512,938/x
  3. Step 3: Cross multiply
    237,744x = 512,938 × 512,938
  4. Step 4: Simplify right side
    237,744x = 263,105,391,844
  5. Step 5: Solve for x
    x = 263,105,391,844/237,744
  6. Step 6: Final answer
    x = 1,106,675.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.