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Finding the Third Proportional to 1,297.46 and 2,594.93

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Solution

The third proportional to 1,297.46 and 2,594.93 is: 5,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.46 : 2,594.93 = 2,594.93 : x
  2. Step 2: Convert to fraction form
    1,297.46/2,594.93 = 2,594.93/x
  3. Step 3: Cross multiply
    1,297.46x = 2,594.93 × 2,594.93
  4. Step 4: Simplify right side
    1,297.46x = 6,733,644.88
  5. Step 5: Solve for x
    x = 6,733,644.88/1,297.46
  6. Step 6: Final answer
    x = 5,189.85

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.