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Finding the Third Proportional to 362,218 and 786,668

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Solution

The third proportional to 362,218 and 786,668 is: 1,708,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,218 : 786,668 = 786,668 : x
  2. Step 2: Convert to fraction form
    362,218/786,668 = 786,668/x
  3. Step 3: Cross multiply
    362,218x = 786,668 × 786,668
  4. Step 4: Simplify right side
    362,218x = 618,846,542,224
  5. Step 5: Solve for x
    x = 618,846,542,224/362,218
  6. Step 6: Final answer
    x = 1,708,491.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.