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Finding the Third Proportional to 235,272 and 504,693

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Solution

The third proportional to 235,272 and 504,693 is: 1,082,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,272 : 504,693 = 504,693 : x
  2. Step 2: Convert to fraction form
    235,272/504,693 = 504,693/x
  3. Step 3: Cross multiply
    235,272x = 504,693 × 504,693
  4. Step 4: Simplify right side
    235,272x = 254,715,024,249
  5. Step 5: Solve for x
    x = 254,715,024,249/235,272
  6. Step 6: Final answer
    x = 1,082,640.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.