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Finding the Third Proportional to 814.69 and 1,313.06

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Solution

The third proportional to 814.69 and 1,313.06 is: 2,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.69 : 1,313.06 = 1,313.06 : x
  2. Step 2: Convert to fraction form
    814.69/1,313.06 = 1,313.06/x
  3. Step 3: Cross multiply
    814.69x = 1,313.06 × 1,313.06
  4. Step 4: Simplify right side
    814.69x = 1,724,133.13
  5. Step 5: Solve for x
    x = 1,724,133.13/814.69
  6. Step 6: Final answer
    x = 2,116.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.