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Finding the Third Proportional to 396,288.56 and 883,341.56

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Solution

The third proportional to 396,288.56 and 883,341.56 is: 1,969,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,288.56 : 883,341.56 = 883,341.56 : x
  2. Step 2: Convert to fraction form
    396,288.56/883,341.56 = 883,341.56/x
  3. Step 3: Cross multiply
    396,288.56x = 883,341.56 × 883,341.56
  4. Step 4: Simplify right side
    396,288.56x = 780,292,316,039.94
  5. Step 5: Solve for x
    x = 780,292,316,039.94/396,288.56
  6. Step 6: Final answer
    x = 1,969,000.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.