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Finding the Third Proportional to 263,106 and 578,697

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Solution

The third proportional to 263,106 and 578,697 is: 1,272,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,106 : 578,697 = 578,697 : x
  2. Step 2: Convert to fraction form
    263,106/578,697 = 578,697/x
  3. Step 3: Cross multiply
    263,106x = 578,697 × 578,697
  4. Step 4: Simplify right side
    263,106x = 334,890,217,809
  5. Step 5: Solve for x
    x = 334,890,217,809/263,106
  6. Step 6: Final answer
    x = 1,272,833.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.