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Finding the Third Proportional to 263,694 and 546,068

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Solution

The third proportional to 263,694 and 546,068 is: 1,130,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,694 : 546,068 = 546,068 : x
  2. Step 2: Convert to fraction form
    263,694/546,068 = 546,068/x
  3. Step 3: Cross multiply
    263,694x = 546,068 × 546,068
  4. Step 4: Simplify right side
    263,694x = 298,190,260,624
  5. Step 5: Solve for x
    x = 298,190,260,624/263,694
  6. Step 6: Final answer
    x = 1,130,819.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.