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Finding the Third Proportional to 419,680.50 and 633,510

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Solution

The third proportional to 419,680.50 and 633,510 is: 956,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,680.50 : 633,510 = 633,510 : x
  2. Step 2: Convert to fraction form
    419,680.50/633,510 = 633,510/x
  3. Step 3: Cross multiply
    419,680.50x = 633,510 × 633,510
  4. Step 4: Simplify right side
    419,680.50x = 401,334,920,100
  5. Step 5: Solve for x
    x = 401,334,920,100/419,680.50
  6. Step 6: Final answer
    x = 956,286.79

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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.