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Finding the Third Proportional to 509,326 and 775,054

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Solution

The third proportional to 509,326 and 775,054 is: 1,179,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,326 : 775,054 = 775,054 : x
  2. Step 2: Convert to fraction form
    509,326/775,054 = 775,054/x
  3. Step 3: Cross multiply
    509,326x = 775,054 × 775,054
  4. Step 4: Simplify right side
    509,326x = 600,708,702,916
  5. Step 5: Solve for x
    x = 600,708,702,916/509,326
  6. Step 6: Final answer
    x = 1,179,418.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.