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Finding the Third Proportional to 696.94 and 1,507.31

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Solution

The third proportional to 696.94 and 1,507.31 is: 3,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.94 : 1,507.31 = 1,507.31 : x
  2. Step 2: Convert to fraction form
    696.94/1,507.31 = 1,507.31/x
  3. Step 3: Cross multiply
    696.94x = 1,507.31 × 1,507.31
  4. Step 4: Simplify right side
    696.94x = 2,271,990.97
  5. Step 5: Solve for x
    x = 2,271,990.97/696.94
  6. Step 6: Final answer
    x = 3,259.96

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Why These Related Problems?

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