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Finding the Third Proportional to 629,395 and 949,317.50

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Solution

The third proportional to 629,395 and 949,317.50 is: 1,431,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,395 : 949,317.50 = 949,317.50 : x
  2. Step 2: Convert to fraction form
    629,395/949,317.50 = 949,317.50/x
  3. Step 3: Cross multiply
    629,395x = 949,317.50 × 949,317.50
  4. Step 4: Simplify right side
    629,395x = 901,203,715,806.25
  5. Step 5: Solve for x
    x = 901,203,715,806.25/629,395
  6. Step 6: Final answer
    x = 1,431,857.13

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Why These Related Problems?

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