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Finding the Third Proportional to 275,313.75 and 565,452.75

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Solution

The third proportional to 275,313.75 and 565,452.75 is: 1,161,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,313.75 : 565,452.75 = 565,452.75 : x
  2. Step 2: Convert to fraction form
    275,313.75/565,452.75 = 565,452.75/x
  3. Step 3: Cross multiply
    275,313.75x = 565,452.75 × 565,452.75
  4. Step 4: Simplify right side
    275,313.75x = 319,736,812,482.56
  5. Step 5: Solve for x
    x = 319,736,812,482.56/275,313.75
  6. Step 6: Final answer
    x = 1,161,354.32

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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.