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Finding the Third Proportional to 268,942 and 585,199

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Solution

The third proportional to 268,942 and 585,199 is: 1,273,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,942 : 585,199 = 585,199 : x
  2. Step 2: Convert to fraction form
    268,942/585,199 = 585,199/x
  3. Step 3: Cross multiply
    268,942x = 585,199 × 585,199
  4. Step 4: Simplify right side
    268,942x = 342,457,869,601
  5. Step 5: Solve for x
    x = 342,457,869,601/268,942
  6. Step 6: Final answer
    x = 1,273,352.13

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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.