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Finding the Third Proportional to 383,271.75 and 806,262.75

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Solution

The third proportional to 383,271.75 and 806,262.75 is: 1,696,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,271.75 : 806,262.75 = 806,262.75 : x
  2. Step 2: Convert to fraction form
    383,271.75/806,262.75 = 806,262.75/x
  3. Step 3: Cross multiply
    383,271.75x = 806,262.75 × 806,262.75
  4. Step 4: Simplify right side
    383,271.75x = 650,059,622,037.56
  5. Step 5: Solve for x
    x = 650,059,622,037.56/383,271.75
  6. Step 6: Final answer
    x = 1,696,080.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.