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Finding the Third Proportional to 442,249.50 and 701,406

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Solution

The third proportional to 442,249.50 and 701,406 is: 1,112,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,249.50 : 701,406 = 701,406 : x
  2. Step 2: Convert to fraction form
    442,249.50/701,406 = 701,406/x
  3. Step 3: Cross multiply
    442,249.50x = 701,406 × 701,406
  4. Step 4: Simplify right side
    442,249.50x = 491,970,376,836
  5. Step 5: Solve for x
    x = 491,970,376,836/442,249.50
  6. Step 6: Final answer
    x = 1,112,427.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.