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Finding the Third Proportional to 501.19 and 1,027.69

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Solution

The third proportional to 501.19 and 1,027.69 is: 2,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.19 : 1,027.69 = 1,027.69 : x
  2. Step 2: Convert to fraction form
    501.19/1,027.69 = 1,027.69/x
  3. Step 3: Cross multiply
    501.19x = 1,027.69 × 1,027.69
  4. Step 4: Simplify right side
    501.19x = 1,056,141.60
  5. Step 5: Solve for x
    x = 1,056,141.60/501.19
  6. Step 6: Final answer
    x = 2,107.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.