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Finding the Third Proportional to 231,012 and 499,932

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Solution

The third proportional to 231,012 and 499,932 is: 1,081,900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,012 : 499,932 = 499,932 : x
  2. Step 2: Convert to fraction form
    231,012/499,932 = 499,932/x
  3. Step 3: Cross multiply
    231,012x = 499,932 × 499,932
  4. Step 4: Simplify right side
    231,012x = 249,932,004,624
  5. Step 5: Solve for x
    x = 249,932,004,624/231,012
  6. Step 6: Final answer
    x = 1,081,900.53

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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.