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Finding the Third Proportional to 237,539 and 512,446

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Solution

The third proportional to 237,539 and 512,446 is: 1,105,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,539 : 512,446 = 512,446 : x
  2. Step 2: Convert to fraction form
    237,539/512,446 = 512,446/x
  3. Step 3: Cross multiply
    237,539x = 512,446 × 512,446
  4. Step 4: Simplify right side
    237,539x = 262,600,902,916
  5. Step 5: Solve for x
    x = 262,600,902,916/237,539
  6. Step 6: Final answer
    x = 1,105,506.48

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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.