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Finding the Third Proportional to 625.77 and 1,349.79

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Solution

The third proportional to 625.77 and 1,349.79 is: 2,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.77 : 1,349.79 = 1,349.79 : x
  2. Step 2: Convert to fraction form
    625.77/1,349.79 = 1,349.79/x
  3. Step 3: Cross multiply
    625.77x = 1,349.79 × 1,349.79
  4. Step 4: Simplify right side
    625.77x = 1,821,930.51
  5. Step 5: Solve for x
    x = 1,821,930.51/625.77
  6. Step 6: Final answer
    x = 2,911.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.