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Finding the Third Proportional to 356,479.50 and 543,698

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Solution

The third proportional to 356,479.50 and 543,698 is: 829,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,479.50 : 543,698 = 543,698 : x
  2. Step 2: Convert to fraction form
    356,479.50/543,698 = 543,698/x
  3. Step 3: Cross multiply
    356,479.50x = 543,698 × 543,698
  4. Step 4: Simplify right side
    356,479.50x = 295,607,515,204
  5. Step 5: Solve for x
    x = 295,607,515,204/356,479.50
  6. Step 6: Final answer
    x = 829,241.28

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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.