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Finding the Third Proportional to 629,866 and 956,463

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Solution

The third proportional to 629,866 and 956,463 is: 1,452,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,866 : 956,463 = 956,463 : x
  2. Step 2: Convert to fraction form
    629,866/956,463 = 956,463/x
  3. Step 3: Cross multiply
    629,866x = 956,463 × 956,463
  4. Step 4: Simplify right side
    629,866x = 914,821,470,369
  5. Step 5: Solve for x
    x = 914,821,470,369/629,866
  6. Step 6: Final answer
    x = 1,452,406.50

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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.