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Finding the Third Proportional to 363,968 and 557,544

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Solution

The third proportional to 363,968 and 557,544 is: 854,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,968 : 557,544 = 557,544 : x
  2. Step 2: Convert to fraction form
    363,968/557,544 = 557,544/x
  3. Step 3: Cross multiply
    363,968x = 557,544 × 557,544
  4. Step 4: Simplify right side
    363,968x = 310,855,311,936
  5. Step 5: Solve for x
    x = 310,855,311,936/363,968
  6. Step 6: Final answer
    x = 854,073.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.