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Finding the Third Proportional to 407,934 and 883,663.50

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Solution

The third proportional to 407,934 and 883,663.50 is: 1,914,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,934 : 883,663.50 = 883,663.50 : x
  2. Step 2: Convert to fraction form
    407,934/883,663.50 = 883,663.50/x
  3. Step 3: Cross multiply
    407,934x = 883,663.50 × 883,663.50
  4. Step 4: Simplify right side
    407,934x = 780,861,181,232.25
  5. Step 5: Solve for x
    x = 780,861,181,232.25/407,934
  6. Step 6: Final answer
    x = 1,914,185.09

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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.