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Finding the Third Proportional to 1,404.21 and 1,707.96

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Solution

The third proportional to 1,404.21 and 1,707.96 is: 2,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.21 : 1,707.96 = 1,707.96 : x
  2. Step 2: Convert to fraction form
    1,404.21/1,707.96 = 1,707.96/x
  3. Step 3: Cross multiply
    1,404.21x = 1,707.96 × 1,707.96
  4. Step 4: Simplify right side
    1,404.21x = 2,917,130.56
  5. Step 5: Solve for x
    x = 2,917,130.56/1,404.21
  6. Step 6: Final answer
    x = 2,077.42

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.