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Finding the Third Proportional to 362,684 and 783,760

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Solution

The third proportional to 362,684 and 783,760 is: 1,693,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,684 : 783,760 = 783,760 : x
  2. Step 2: Convert to fraction form
    362,684/783,760 = 783,760/x
  3. Step 3: Cross multiply
    362,684x = 783,760 × 783,760
  4. Step 4: Simplify right side
    362,684x = 614,279,737,600
  5. Step 5: Solve for x
    x = 614,279,737,600/362,684
  6. Step 6: Final answer
    x = 1,693,705.09

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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.