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Finding the Third Proportional to 305,993 and 662,827

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Solution

The third proportional to 305,993 and 662,827 is: 1,435,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,993 : 662,827 = 662,827 : x
  2. Step 2: Convert to fraction form
    305,993/662,827 = 662,827/x
  3. Step 3: Cross multiply
    305,993x = 662,827 × 662,827
  4. Step 4: Simplify right side
    305,993x = 439,339,631,929
  5. Step 5: Solve for x
    x = 439,339,631,929/305,993
  6. Step 6: Final answer
    x = 1,435,783.28

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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.