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Finding the Third Proportional to 283,822 and 436,381

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Solution

The third proportional to 283,822 and 436,381 is: 670,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,822 : 436,381 = 436,381 : x
  2. Step 2: Convert to fraction form
    283,822/436,381 = 436,381/x
  3. Step 3: Cross multiply
    283,822x = 436,381 × 436,381
  4. Step 4: Simplify right side
    283,822x = 190,428,377,161
  5. Step 5: Solve for x
    x = 190,428,377,161/283,822
  6. Step 6: Final answer
    x = 670,942.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.