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Finding the Third Proportional to 361,834 and 531,903

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Solution

The third proportional to 361,834 and 531,903 is: 781,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,834 : 531,903 = 531,903 : x
  2. Step 2: Convert to fraction form
    361,834/531,903 = 531,903/x
  3. Step 3: Cross multiply
    361,834x = 531,903 × 531,903
  4. Step 4: Simplify right side
    361,834x = 282,920,801,409
  5. Step 5: Solve for x
    x = 282,920,801,409/361,834
  6. Step 6: Final answer
    x = 781,907.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.