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Finding the Third Proportional to 305,838 and 422,613

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Solution

The third proportional to 305,838 and 422,613 is: 583,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,838 : 422,613 = 422,613 : x
  2. Step 2: Convert to fraction form
    305,838/422,613 = 422,613/x
  3. Step 3: Cross multiply
    305,838x = 422,613 × 422,613
  4. Step 4: Simplify right side
    305,838x = 178,601,747,769
  5. Step 5: Solve for x
    x = 178,601,747,769/305,838
  6. Step 6: Final answer
    x = 583,975.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.