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Finding the Third Proportional to 407,469 and 890,662.50

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Solution

The third proportional to 407,469 and 890,662.50 is: 1,946,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,469 : 890,662.50 = 890,662.50 : x
  2. Step 2: Convert to fraction form
    407,469/890,662.50 = 890,662.50/x
  3. Step 3: Cross multiply
    407,469x = 890,662.50 × 890,662.50
  4. Step 4: Simplify right side
    407,469x = 793,279,688,906.25
  5. Step 5: Solve for x
    x = 793,279,688,906.25/407,469
  6. Step 6: Final answer
    x = 1,946,846.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.