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Finding the Third Proportional to 493,861.50 and 721,926

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Solution

The third proportional to 493,861.50 and 721,926 is: 1,055,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,861.50 : 721,926 = 721,926 : x
  2. Step 2: Convert to fraction form
    493,861.50/721,926 = 721,926/x
  3. Step 3: Cross multiply
    493,861.50x = 721,926 × 721,926
  4. Step 4: Simplify right side
    493,861.50x = 521,177,149,476
  5. Step 5: Solve for x
    x = 521,177,149,476/493,861.50
  6. Step 6: Final answer
    x = 1,055,310.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.