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Finding the Third Proportional to 351,940 and 501,450

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Solution

The third proportional to 351,940 and 501,450 is: 714,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,940 : 501,450 = 501,450 : x
  2. Step 2: Convert to fraction form
    351,940/501,450 = 501,450/x
  3. Step 3: Cross multiply
    351,940x = 501,450 × 501,450
  4. Step 4: Simplify right side
    351,940x = 251,452,102,500
  5. Step 5: Solve for x
    x = 251,452,102,500/351,940
  6. Step 6: Final answer
    x = 714,474.35

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.