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Finding the Third Proportional to 410,173.50 and 620,928

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Solution

The third proportional to 410,173.50 and 620,928 is: 939,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,173.50 : 620,928 = 620,928 : x
  2. Step 2: Convert to fraction form
    410,173.50/620,928 = 620,928/x
  3. Step 3: Cross multiply
    410,173.50x = 620,928 × 620,928
  4. Step 4: Simplify right side
    410,173.50x = 385,551,581,184
  5. Step 5: Solve for x
    x = 385,551,581,184/410,173.50
  6. Step 6: Final answer
    x = 939,971.94

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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.