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Finding the Third Proportional to 707.96 and 1,529.82

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Solution

The third proportional to 707.96 and 1,529.82 is: 3,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.96 : 1,529.82 = 1,529.82 : x
  2. Step 2: Convert to fraction form
    707.96/1,529.82 = 1,529.82/x
  3. Step 3: Cross multiply
    707.96x = 1,529.82 × 1,529.82
  4. Step 4: Simplify right side
    707.96x = 2,340,362.14
  5. Step 5: Solve for x
    x = 2,340,362.14/707.96
  6. Step 6: Final answer
    x = 3,305.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.