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Finding the Third Proportional to 629,396 and 949,319

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Solution

The third proportional to 629,396 and 949,319 is: 1,431,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,396 : 949,319 = 949,319 : x
  2. Step 2: Convert to fraction form
    629,396/949,319 = 949,319/x
  3. Step 3: Cross multiply
    629,396x = 949,319 × 949,319
  4. Step 4: Simplify right side
    629,396x = 901,206,563,761
  5. Step 5: Solve for x
    x = 901,206,563,761/629,396
  6. Step 6: Final answer
    x = 1,431,859.38

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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.