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Finding the Third Proportional to 434.81 and 502.31

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Solution

The third proportional to 434.81 and 502.31 is: 580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.81 : 502.31 = 502.31 : x
  2. Step 2: Convert to fraction form
    434.81/502.31 = 502.31/x
  3. Step 3: Cross multiply
    434.81x = 502.31 × 502.31
  4. Step 4: Simplify right side
    434.81x = 252,317.85
  5. Step 5: Solve for x
    x = 252,317.85/434.81
  6. Step 6: Final answer
    x = 580.29

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.