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Finding the Third Proportional to 509.25 and 878.63

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Solution

The third proportional to 509.25 and 878.63 is: 1,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.25 : 878.63 = 878.63 : x
  2. Step 2: Convert to fraction form
    509.25/878.63 = 878.63/x
  3. Step 3: Cross multiply
    509.25x = 878.63 × 878.63
  4. Step 4: Simplify right side
    509.25x = 771,981.89
  5. Step 5: Solve for x
    x = 771,981.89/509.25
  6. Step 6: Final answer
    x = 1,515.92

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.