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Finding the Third Proportional to 320,836 and 448,575

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Solution

The third proportional to 320,836 and 448,575 is: 627,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,836 : 448,575 = 448,575 : x
  2. Step 2: Convert to fraction form
    320,836/448,575 = 448,575/x
  3. Step 3: Cross multiply
    320,836x = 448,575 × 448,575
  4. Step 4: Simplify right side
    320,836x = 201,219,530,625
  5. Step 5: Solve for x
    x = 201,219,530,625/320,836
  6. Step 6: Final answer
    x = 627,172.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.