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Finding the Third Proportional to 246,710 and 538,041

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Solution

The third proportional to 246,710 and 538,041 is: 1,173,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,710 : 538,041 = 538,041 : x
  2. Step 2: Convert to fraction form
    246,710/538,041 = 538,041/x
  3. Step 3: Cross multiply
    246,710x = 538,041 × 538,041
  4. Step 4: Simplify right side
    246,710x = 289,488,117,681
  5. Step 5: Solve for x
    x = 289,488,117,681/246,710
  6. Step 6: Final answer
    x = 1,173,394.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.