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Finding the Third Proportional to 386.50 and 502.50

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Solution

The third proportional to 386.50 and 502.50 is: 653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.50 : 502.50 = 502.50 : x
  2. Step 2: Convert to fraction form
    386.50/502.50 = 502.50/x
  3. Step 3: Cross multiply
    386.50x = 502.50 × 502.50
  4. Step 4: Simplify right side
    386.50x = 252,506.25
  5. Step 5: Solve for x
    x = 252,506.25/386.50
  6. Step 6: Final answer
    x = 653.32

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.