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Finding the Third Proportional to 349,119 and 533,824

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Solution

The third proportional to 349,119 and 533,824 is: 816,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,119 : 533,824 = 533,824 : x
  2. Step 2: Convert to fraction form
    349,119/533,824 = 533,824/x
  3. Step 3: Cross multiply
    349,119x = 533,824 × 533,824
  4. Step 4: Simplify right side
    349,119x = 284,968,062,976
  5. Step 5: Solve for x
    x = 284,968,062,976/349,119
  6. Step 6: Final answer
    x = 816,249.08

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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.