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Finding the Third Proportional to 1,297.46 and 1,902.95

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Solution

The third proportional to 1,297.46 and 1,902.95 is: 2,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.46 : 1,902.95 = 1,902.95 : x
  2. Step 2: Convert to fraction form
    1,297.46/1,902.95 = 1,902.95/x
  3. Step 3: Cross multiply
    1,297.46x = 1,902.95 × 1,902.95
  4. Step 4: Simplify right side
    1,297.46x = 3,621,204.58
  5. Step 5: Solve for x
    x = 3,621,204.58/1,297.46
  6. Step 6: Final answer
    x = 2,790.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.