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Finding the Third Proportional to 624.74 and 1,446.29

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Solution

The third proportional to 624.74 and 1,446.29 is: 3,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.74 : 1,446.29 = 1,446.29 : x
  2. Step 2: Convert to fraction form
    624.74/1,446.29 = 1,446.29/x
  3. Step 3: Cross multiply
    624.74x = 1,446.29 × 1,446.29
  4. Step 4: Simplify right side
    624.74x = 2,091,763.35
  5. Step 5: Solve for x
    x = 2,091,763.35/624.74
  6. Step 6: Final answer
    x = 3,348.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.