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Finding the Third Proportional to 237,739 and 512,930

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Solution

The third proportional to 237,739 and 512,930 is: 1,106,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,739 : 512,930 = 512,930 : x
  2. Step 2: Convert to fraction form
    237,739/512,930 = 512,930/x
  3. Step 3: Cross multiply
    237,739x = 512,930 × 512,930
  4. Step 4: Simplify right side
    237,739x = 263,097,184,900
  5. Step 5: Solve for x
    x = 263,097,184,900/237,739
  6. Step 6: Final answer
    x = 1,106,663.97

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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.