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Finding the Third Proportional to 231,223 and 504,465

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Solution

The third proportional to 231,223 and 504,465 is: 1,100,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,223 : 504,465 = 504,465 : x
  2. Step 2: Convert to fraction form
    231,223/504,465 = 504,465/x
  3. Step 3: Cross multiply
    231,223x = 504,465 × 504,465
  4. Step 4: Simplify right side
    231,223x = 254,484,936,225
  5. Step 5: Solve for x
    x = 254,484,936,225/231,223
  6. Step 6: Final answer
    x = 1,100,603.90

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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.