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Finding the Third Proportional to 498,262 and 773,647

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Solution

The third proportional to 498,262 and 773,647 is: 1,201,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,262 : 773,647 = 773,647 : x
  2. Step 2: Convert to fraction form
    498,262/773,647 = 773,647/x
  3. Step 3: Cross multiply
    498,262x = 773,647 × 773,647
  4. Step 4: Simplify right side
    498,262x = 598,529,680,609
  5. Step 5: Solve for x
    x = 598,529,680,609/498,262
  6. Step 6: Final answer
    x = 1,201,234.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.