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Finding the Third Proportional to 501,364.69 and 1,082,620.69

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Solution

The third proportional to 501,364.69 and 1,082,620.69 is: 2,337,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,364.69 : 1,082,620.69 = 1,082,620.69 : x
  2. Step 2: Convert to fraction form
    501,364.69/1,082,620.69 = 1,082,620.69/x
  3. Step 3: Cross multiply
    501,364.69x = 1,082,620.69 × 1,082,620.69
  4. Step 4: Simplify right side
    501,364.69x = 1,172,067,553,002.97
  5. Step 5: Solve for x
    x = 1,172,067,553,002.97/501,364.69
  6. Step 6: Final answer
    x = 2,337,754.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.