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Finding the Third Proportional to 402,311.75 and 837,693.25

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Solution

The third proportional to 402,311.75 and 837,693.25 is: 1,744,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,311.75 : 837,693.25 = 837,693.25 : x
  2. Step 2: Convert to fraction form
    402,311.75/837,693.25 = 837,693.25/x
  3. Step 3: Cross multiply
    402,311.75x = 837,693.25 × 837,693.25
  4. Step 4: Simplify right side
    402,311.75x = 701,729,981,095.56
  5. Step 5: Solve for x
    x = 701,729,981,095.56/402,311.75
  6. Step 6: Final answer
    x = 1,744,244.31

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.