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Finding the Third Proportional to 509.50 and 563.75

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Solution

The third proportional to 509.50 and 563.75 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 563.75 = 563.75 : x
  2. Step 2: Convert to fraction form
    509.50/563.75 = 563.75/x
  3. Step 3: Cross multiply
    509.50x = 563.75 × 563.75
  4. Step 4: Simplify right side
    509.50x = 317,814.06
  5. Step 5: Solve for x
    x = 317,814.06/509.50
  6. Step 6: Final answer
    x = 623.78

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.