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Finding the Third Proportional to 703.05 and 1,609.56

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Solution

The third proportional to 703.05 and 1,609.56 is: 3,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.05 : 1,609.56 = 1,609.56 : x
  2. Step 2: Convert to fraction form
    703.05/1,609.56 = 1,609.56/x
  3. Step 3: Cross multiply
    703.05x = 1,609.56 × 1,609.56
  4. Step 4: Simplify right side
    703.05x = 2,590,678.87
  5. Step 5: Solve for x
    x = 2,590,678.87/703.05
  6. Step 6: Final answer
    x = 3,684.89

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.