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Finding the Third Proportional to 246,769 and 512,914

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Solution

The third proportional to 246,769 and 512,914 is: 1,066,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,769 : 512,914 = 512,914 : x
  2. Step 2: Convert to fraction form
    246,769/512,914 = 512,914/x
  3. Step 3: Cross multiply
    246,769x = 512,914 × 512,914
  4. Step 4: Simplify right side
    246,769x = 263,080,771,396
  5. Step 5: Solve for x
    x = 263,080,771,396/246,769
  6. Step 6: Final answer
    x = 1,066,101.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.