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Finding the Third Proportional to 436,992.75 and 686,665.13

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Solution

The third proportional to 436,992.75 and 686,665.13 is: 1,078,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,992.75 : 686,665.13 = 686,665.13 : x
  2. Step 2: Convert to fraction form
    436,992.75/686,665.13 = 686,665.13/x
  3. Step 3: Cross multiply
    436,992.75x = 686,665.13 × 686,665.13
  4. Step 4: Simplify right side
    436,992.75x = 471,508,993,891.27
  5. Step 5: Solve for x
    x = 471,508,993,891.27/436,992.75
  6. Step 6: Final answer
    x = 1,078,985.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.