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Finding the Third Proportional to 518.63 and 986.63

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Solution

The third proportional to 518.63 and 986.63 is: 1,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.63 : 986.63 = 986.63 : x
  2. Step 2: Convert to fraction form
    518.63/986.63 = 986.63/x
  3. Step 3: Cross multiply
    518.63x = 986.63 × 986.63
  4. Step 4: Simplify right side
    518.63x = 973,428.89
  5. Step 5: Solve for x
    x = 973,428.89/518.63
  6. Step 6: Final answer
    x = 1,876.94

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.