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Finding the Third Proportional to 414,383 and 623,116

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Solution

The third proportional to 414,383 and 623,116 is: 936,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,383 : 623,116 = 623,116 : x
  2. Step 2: Convert to fraction form
    414,383/623,116 = 623,116/x
  3. Step 3: Cross multiply
    414,383x = 623,116 × 623,116
  4. Step 4: Simplify right side
    414,383x = 388,273,549,456
  5. Step 5: Solve for x
    x = 388,273,549,456/414,383
  6. Step 6: Final answer
    x = 936,991.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.