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Finding the Third Proportional to 629,405 and 949,332

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Solution

The third proportional to 629,405 and 949,332 is: 1,431,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,405 : 949,332 = 949,332 : x
  2. Step 2: Convert to fraction form
    629,405/949,332 = 949,332/x
  3. Step 3: Cross multiply
    629,405x = 949,332 × 949,332
  4. Step 4: Simplify right side
    629,405x = 901,231,246,224
  5. Step 5: Solve for x
    x = 901,231,246,224/629,405
  6. Step 6: Final answer
    x = 1,431,878.12

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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.