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Finding the Third Proportional to 394,159 and 601,082

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Solution

The third proportional to 394,159 and 601,082 is: 916,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,159 : 601,082 = 601,082 : x
  2. Step 2: Convert to fraction form
    394,159/601,082 = 601,082/x
  3. Step 3: Cross multiply
    394,159x = 601,082 × 601,082
  4. Step 4: Simplify right side
    394,159x = 361,299,570,724
  5. Step 5: Solve for x
    x = 361,299,570,724/394,159
  6. Step 6: Final answer
    x = 916,634.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.