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Finding the Third Proportional to 436,914 and 686,535.75

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Solution

The third proportional to 436,914 and 686,535.75 is: 1,078,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,914 : 686,535.75 = 686,535.75 : x
  2. Step 2: Convert to fraction form
    436,914/686,535.75 = 686,535.75/x
  3. Step 3: Cross multiply
    436,914x = 686,535.75 × 686,535.75
  4. Step 4: Simplify right side
    436,914x = 471,331,336,028.06
  5. Step 5: Solve for x
    x = 471,331,336,028.06/436,914
  6. Step 6: Final answer
    x = 1,078,773.71

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