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Finding the Third Proportional to 416,888 and 633,756

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Solution

The third proportional to 416,888 and 633,756 is: 963,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,888 : 633,756 = 633,756 : x
  2. Step 2: Convert to fraction form
    416,888/633,756 = 633,756/x
  3. Step 3: Cross multiply
    416,888x = 633,756 × 633,756
  4. Step 4: Simplify right side
    416,888x = 401,646,667,536
  5. Step 5: Solve for x
    x = 401,646,667,536/416,888
  6. Step 6: Final answer
    x = 963,440.22

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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.