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Finding the Third Proportional to 650.53 and 1,346.63

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Solution

The third proportional to 650.53 and 1,346.63 is: 2,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 1,346.63 = 1,346.63 : x
  2. Step 2: Convert to fraction form
    650.53/1,346.63 = 1,346.63/x
  3. Step 3: Cross multiply
    650.53x = 1,346.63 × 1,346.63
  4. Step 4: Simplify right side
    650.53x = 1,813,398.89
  5. Step 5: Solve for x
    x = 1,813,398.89/650.53
  6. Step 6: Final answer
    x = 2,787.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.