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Finding the Third Proportional to 659.25 and 1,355.63

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Solution

The third proportional to 659.25 and 1,355.63 is: 2,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.25 : 1,355.63 = 1,355.63 : x
  2. Step 2: Convert to fraction form
    659.25/1,355.63 = 1,355.63/x
  3. Step 3: Cross multiply
    659.25x = 1,355.63 × 1,355.63
  4. Step 4: Simplify right side
    659.25x = 1,837,719.14
  5. Step 5: Solve for x
    x = 1,837,719.14/659.25
  6. Step 6: Final answer
    x = 2,787.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.