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Finding the Third Proportional to 509.63 and 687.56

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Solution

The third proportional to 509.63 and 687.56 is: 927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 687.56 = 687.56 : x
  2. Step 2: Convert to fraction form
    509.63/687.56 = 687.56/x
  3. Step 3: Cross multiply
    509.63x = 687.56 × 687.56
  4. Step 4: Simplify right side
    509.63x = 472,742.19
  5. Step 5: Solve for x
    x = 472,742.19/509.63
  6. Step 6: Final answer
    x = 927.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.