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Finding the Third Proportional to 625.06 and 1,346.31

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Solution

The third proportional to 625.06 and 1,346.31 is: 2,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.06 : 1,346.31 = 1,346.31 : x
  2. Step 2: Convert to fraction form
    625.06/1,346.31 = 1,346.31/x
  3. Step 3: Cross multiply
    625.06x = 1,346.31 × 1,346.31
  4. Step 4: Simplify right side
    625.06x = 1,812,557.35
  5. Step 5: Solve for x
    x = 1,812,557.35/625.06
  6. Step 6: Final answer
    x = 2,899.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.