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Finding the Third Proportional to 509.63 and 1,063.13

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Solution

The third proportional to 509.63 and 1,063.13 is: 2,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 1,063.13 = 1,063.13 : x
  2. Step 2: Convert to fraction form
    509.63/1,063.13 = 1,063.13/x
  3. Step 3: Cross multiply
    509.63x = 1,063.13 × 1,063.13
  4. Step 4: Simplify right side
    509.63x = 1,130,234.77
  5. Step 5: Solve for x
    x = 1,130,234.77/509.63
  6. Step 6: Final answer
    x = 2,217.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.