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Finding the Third Proportional to 268,590 and 585,126

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Solution

The third proportional to 268,590 and 585,126 is: 1,274,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,590 : 585,126 = 585,126 : x
  2. Step 2: Convert to fraction form
    268,590/585,126 = 585,126/x
  3. Step 3: Cross multiply
    268,590x = 585,126 × 585,126
  4. Step 4: Simplify right side
    268,590x = 342,372,435,876
  5. Step 5: Solve for x
    x = 342,372,435,876/268,590
  6. Step 6: Final answer
    x = 1,274,702.84

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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.