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Finding the Third Proportional to 509.63 and 765.56

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Solution

The third proportional to 509.63 and 765.56 is: 1,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 765.56 = 765.56 : x
  2. Step 2: Convert to fraction form
    509.63/765.56 = 765.56/x
  3. Step 3: Cross multiply
    509.63x = 765.56 × 765.56
  4. Step 4: Simplify right side
    509.63x = 586,085.94
  5. Step 5: Solve for x
    x = 586,085.94/509.63
  6. Step 6: Final answer
    x = 1,150.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.