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Finding the Third Proportional to 416,884 and 633,750

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Solution

The third proportional to 416,884 and 633,750 is: 963,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,884 : 633,750 = 633,750 : x
  2. Step 2: Convert to fraction form
    416,884/633,750 = 633,750/x
  3. Step 3: Cross multiply
    416,884x = 633,750 × 633,750
  4. Step 4: Simplify right side
    416,884x = 401,639,062,500
  5. Step 5: Solve for x
    x = 401,639,062,500/416,884
  6. Step 6: Final answer
    x = 963,431.22

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Why These Related Problems?

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