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Finding the Third Proportional to 407,811 and 620,356.50

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Solution

The third proportional to 407,811 and 620,356.50 is: 943,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,811 : 620,356.50 = 620,356.50 : x
  2. Step 2: Convert to fraction form
    407,811/620,356.50 = 620,356.50/x
  3. Step 3: Cross multiply
    407,811x = 620,356.50 × 620,356.50
  4. Step 4: Simplify right side
    407,811x = 384,842,187,092.25
  5. Step 5: Solve for x
    x = 384,842,187,092.25/407,811
  6. Step 6: Final answer
    x = 943,677.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.