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Finding the Third Proportional to 640.88 and 1,746.75

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Solution

The third proportional to 640.88 and 1,746.75 is: 4,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.88 : 1,746.75 = 1,746.75 : x
  2. Step 2: Convert to fraction form
    640.88/1,746.75 = 1,746.75/x
  3. Step 3: Cross multiply
    640.88x = 1,746.75 × 1,746.75
  4. Step 4: Simplify right side
    640.88x = 3,051,135.56
  5. Step 5: Solve for x
    x = 3,051,135.56/640.88
  6. Step 6: Final answer
    x = 4,760.89

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Why These Related Problems?

These problems maintain the same ratio (2.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.