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Finding the Third Proportional to 191,403 and 447,059.25

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Solution

The third proportional to 191,403 and 447,059.25 is: 1,044,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,403 : 447,059.25 = 447,059.25 : x
  2. Step 2: Convert to fraction form
    191,403/447,059.25 = 447,059.25/x
  3. Step 3: Cross multiply
    191,403x = 447,059.25 × 447,059.25
  4. Step 4: Simplify right side
    191,403x = 199,861,973,010.56
  5. Step 5: Solve for x
    x = 199,861,973,010.56/191,403
  6. Step 6: Final answer
    x = 1,044,194.57

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.