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Finding the Third Proportional to 351,956 and 501,472

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Solution

The third proportional to 351,956 and 501,472 is: 714,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,956 : 501,472 = 501,472 : x
  2. Step 2: Convert to fraction form
    351,956/501,472 = 501,472/x
  3. Step 3: Cross multiply
    351,956x = 501,472 × 501,472
  4. Step 4: Simplify right side
    351,956x = 251,474,166,784
  5. Step 5: Solve for x
    x = 251,474,166,784/351,956
  6. Step 6: Final answer
    x = 714,504.56

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Why These Related Problems?

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