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Finding the Third Proportional to 464.50 and 980.75

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Solution

The third proportional to 464.50 and 980.75 is: 2,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.50 : 980.75 = 980.75 : x
  2. Step 2: Convert to fraction form
    464.50/980.75 = 980.75/x
  3. Step 3: Cross multiply
    464.50x = 980.75 × 980.75
  4. Step 4: Simplify right side
    464.50x = 961,870.56
  5. Step 5: Solve for x
    x = 961,870.56/464.50
  6. Step 6: Final answer
    x = 2,070.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.