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Finding the Third Proportional to 645.38 and 1,412.81

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Solution

The third proportional to 645.38 and 1,412.81 is: 3,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.38 : 1,412.81 = 1,412.81 : x
  2. Step 2: Convert to fraction form
    645.38/1,412.81 = 1,412.81/x
  3. Step 3: Cross multiply
    645.38x = 1,412.81 × 1,412.81
  4. Step 4: Simplify right side
    645.38x = 1,996,039.16
  5. Step 5: Solve for x
    x = 1,996,039.16/645.38
  6. Step 6: Final answer
    x = 3,092.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.