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Finding the Third Proportional to 629,859.38 and 956,453.06

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Solution

The third proportional to 629,859.38 and 956,453.06 is: 1,452,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,859.38 : 956,453.06 = 956,453.06 : x
  2. Step 2: Convert to fraction form
    629,859.38/956,453.06 = 956,453.06/x
  3. Step 3: Cross multiply
    629,859.38x = 956,453.06 × 956,453.06
  4. Step 4: Simplify right side
    629,859.38x = 914,802,460,765.63
  5. Step 5: Solve for x
    x = 914,802,460,765.63/629,859.38
  6. Step 6: Final answer
    x = 1,452,391.59

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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.