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Finding the Third Proportional to 410,185 and 620,944.50

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Solution

The third proportional to 410,185 and 620,944.50 is: 939,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,185 : 620,944.50 = 620,944.50 : x
  2. Step 2: Convert to fraction form
    410,185/620,944.50 = 620,944.50/x
  3. Step 3: Cross multiply
    410,185x = 620,944.50 × 620,944.50
  4. Step 4: Simplify right side
    410,185x = 385,572,072,080.25
  5. Step 5: Solve for x
    x = 385,572,072,080.25/410,185
  6. Step 6: Final answer
    x = 939,995.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.