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Finding the Third Proportional to 362,682 and 783,756

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Solution

The third proportional to 362,682 and 783,756 is: 1,693,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,682 : 783,756 = 783,756 : x
  2. Step 2: Convert to fraction form
    362,682/783,756 = 783,756/x
  3. Step 3: Cross multiply
    362,682x = 783,756 × 783,756
  4. Step 4: Simplify right side
    362,682x = 614,273,467,536
  5. Step 5: Solve for x
    x = 614,273,467,536/362,682
  6. Step 6: Final answer
    x = 1,693,697.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.