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Finding the Third Proportional to 505,344 and 694,272

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Solution

The third proportional to 505,344 and 694,272 is: 953,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,344 : 694,272 = 694,272 : x
  2. Step 2: Convert to fraction form
    505,344/694,272 = 694,272/x
  3. Step 3: Cross multiply
    505,344x = 694,272 × 694,272
  4. Step 4: Simplify right side
    505,344x = 482,013,609,984
  5. Step 5: Solve for x
    x = 482,013,609,984/505,344
  6. Step 6: Final answer
    x = 953,832.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.