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Finding the Third Proportional to 500,529.38 and 775,676.25

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Solution

The third proportional to 500,529.38 and 775,676.25 is: 1,202,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,529.38 : 775,676.25 = 775,676.25 : x
  2. Step 2: Convert to fraction form
    500,529.38/775,676.25 = 775,676.25/x
  3. Step 3: Cross multiply
    500,529.38x = 775,676.25 × 775,676.25
  4. Step 4: Simplify right side
    500,529.38x = 601,673,644,814.06
  5. Step 5: Solve for x
    x = 601,673,644,814.06/500,529.38
  6. Step 6: Final answer
    x = 1,202,074.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.