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Finding the Third Proportional to 509.91 and 827.06

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Solution

The third proportional to 509.91 and 827.06 is: 1,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.91 : 827.06 = 827.06 : x
  2. Step 2: Convert to fraction form
    509.91/827.06 = 827.06/x
  3. Step 3: Cross multiply
    509.91x = 827.06 × 827.06
  4. Step 4: Simplify right side
    509.91x = 684,032.38
  5. Step 5: Solve for x
    x = 684,032.38/509.91
  6. Step 6: Final answer
    x = 1,341.49

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.