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Finding the Third Proportional to 362,694 and 783,780

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Solution

The third proportional to 362,694 and 783,780 is: 1,693,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,694 : 783,780 = 783,780 : x
  2. Step 2: Convert to fraction form
    362,694/783,780 = 783,780/x
  3. Step 3: Cross multiply
    362,694x = 783,780 × 783,780
  4. Step 4: Simplify right side
    362,694x = 614,311,088,400
  5. Step 5: Solve for x
    x = 614,311,088,400/362,694
  6. Step 6: Final answer
    x = 1,693,744.83

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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.