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Finding the Third Proportional to 194,352 and 419,328

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Solution

The third proportional to 194,352 and 419,328 is: 904,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,352 : 419,328 = 419,328 : x
  2. Step 2: Convert to fraction form
    194,352/419,328 = 419,328/x
  3. Step 3: Cross multiply
    194,352x = 419,328 × 419,328
  4. Step 4: Simplify right side
    194,352x = 175,835,971,584
  5. Step 5: Solve for x
    x = 175,835,971,584/194,352
  6. Step 6: Final answer
    x = 904,729.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.