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Finding the Third Proportional to 275,322.75 and 565,470.75

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Solution

The third proportional to 275,322.75 and 565,470.75 is: 1,161,390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,322.75 : 565,470.75 = 565,470.75 : x
  2. Step 2: Convert to fraction form
    275,322.75/565,470.75 = 565,470.75/x
  3. Step 3: Cross multiply
    275,322.75x = 565,470.75 × 565,470.75
  4. Step 4: Simplify right side
    275,322.75x = 319,757,169,105.56
  5. Step 5: Solve for x
    x = 319,757,169,105.56/275,322.75
  6. Step 6: Final answer
    x = 1,161,390.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.