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Finding the Third Proportional to 231,710 and 505,996

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Solution

The third proportional to 231,710 and 505,996 is: 1,104,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,710 : 505,996 = 505,996 : x
  2. Step 2: Convert to fraction form
    231,710/505,996 = 505,996/x
  3. Step 3: Cross multiply
    231,710x = 505,996 × 505,996
  4. Step 4: Simplify right side
    231,710x = 256,031,952,016
  5. Step 5: Solve for x
    x = 256,031,952,016/231,710
  6. Step 6: Final answer
    x = 1,104,967.21

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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.