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Finding the Third Proportional to 231,194 and 499,612

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Solution

The third proportional to 231,194 and 499,612 is: 1,079,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,194 : 499,612 = 499,612 : x
  2. Step 2: Convert to fraction form
    231,194/499,612 = 499,612/x
  3. Step 3: Cross multiply
    231,194x = 499,612 × 499,612
  4. Step 4: Simplify right side
    231,194x = 249,612,150,544
  5. Step 5: Solve for x
    x = 249,612,150,544/231,194
  6. Step 6: Final answer
    x = 1,079,665.35

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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.