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Finding the Third Proportional to 407,649 and 885,529.50

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Solution

The third proportional to 407,649 and 885,529.50 is: 1,923,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,649 : 885,529.50 = 885,529.50 : x
  2. Step 2: Convert to fraction form
    407,649/885,529.50 = 885,529.50/x
  3. Step 3: Cross multiply
    407,649x = 885,529.50 × 885,529.50
  4. Step 4: Simplify right side
    407,649x = 784,162,495,370.25
  5. Step 5: Solve for x
    x = 784,162,495,370.25/407,649
  6. Step 6: Final answer
    x = 1,923,621.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.