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Finding the Third Proportional to 570.38 and 1,213.03

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Solution

The third proportional to 570.38 and 1,213.03 is: 2,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.38 : 1,213.03 = 1,213.03 : x
  2. Step 2: Convert to fraction form
    570.38/1,213.03 = 1,213.03/x
  3. Step 3: Cross multiply
    570.38x = 1,213.03 × 1,213.03
  4. Step 4: Simplify right side
    570.38x = 1,471,444.81
  5. Step 5: Solve for x
    x = 1,471,444.81/570.38
  6. Step 6: Final answer
    x = 2,579.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.