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Finding the Third Proportional to 555.19 and 1,027.69

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Solution

The third proportional to 555.19 and 1,027.69 is: 1,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.19 : 1,027.69 = 1,027.69 : x
  2. Step 2: Convert to fraction form
    555.19/1,027.69 = 1,027.69/x
  3. Step 3: Cross multiply
    555.19x = 1,027.69 × 1,027.69
  4. Step 4: Simplify right side
    555.19x = 1,056,141.60
  5. Step 5: Solve for x
    x = 1,056,141.60/555.19
  6. Step 6: Final answer
    x = 1,902.32

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.