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Finding the Third Proportional to 231,120 and 494,865

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Solution

The third proportional to 231,120 and 494,865 is: 1,059,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,120 : 494,865 = 494,865 : x
  2. Step 2: Convert to fraction form
    231,120/494,865 = 494,865/x
  3. Step 3: Cross multiply
    231,120x = 494,865 × 494,865
  4. Step 4: Simplify right side
    231,120x = 244,891,368,225
  5. Step 5: Solve for x
    x = 244,891,368,225/231,120
  6. Step 6: Final answer
    x = 1,059,585.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.