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Finding the Third Proportional to 263,348 and 419,082

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Solution

The third proportional to 263,348 and 419,082 is: 666,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,348 : 419,082 = 419,082 : x
  2. Step 2: Convert to fraction form
    263,348/419,082 = 419,082/x
  3. Step 3: Cross multiply
    263,348x = 419,082 × 419,082
  4. Step 4: Simplify right side
    263,348x = 175,629,722,724
  5. Step 5: Solve for x
    x = 175,629,722,724/263,348
  6. Step 6: Final answer
    x = 666,911.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.