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Finding the Third Proportional to 275,820.19 and 421,756.88

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Solution

The third proportional to 275,820.19 and 421,756.88 is: 644,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,820.19 : 421,756.88 = 421,756.88 : x
  2. Step 2: Convert to fraction form
    275,820.19/421,756.88 = 421,756.88/x
  3. Step 3: Cross multiply
    275,820.19x = 421,756.88 × 421,756.88
  4. Step 4: Simplify right side
    275,820.19x = 177,878,861,609.77
  5. Step 5: Solve for x
    x = 177,878,861,609.77/275,820.19
  6. Step 6: Final answer
    x = 644,908.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.