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Finding the Third Proportional to 629,860.13 and 956,454.38

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Solution

The third proportional to 629,860.13 and 956,454.38 is: 1,452,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,860.13 : 956,454.38 = 956,454.38 : x
  2. Step 2: Convert to fraction form
    629,860.13/956,454.38 = 956,454.38/x
  3. Step 3: Cross multiply
    629,860.13x = 956,454.38 × 956,454.38
  4. Step 4: Simplify right side
    629,860.13x = 914,804,971,456.64
  5. Step 5: Solve for x
    x = 914,804,971,456.64/629,860.13
  6. Step 6: Final answer
    x = 1,452,393.85

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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.