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Finding the Third Proportional to 639.75 and 1,332.25

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Solution

The third proportional to 639.75 and 1,332.25 is: 2,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.75 : 1,332.25 = 1,332.25 : x
  2. Step 2: Convert to fraction form
    639.75/1,332.25 = 1,332.25/x
  3. Step 3: Cross multiply
    639.75x = 1,332.25 × 1,332.25
  4. Step 4: Simplify right side
    639.75x = 1,774,890.06
  5. Step 5: Solve for x
    x = 1,774,890.06/639.75
  6. Step 6: Final answer
    x = 2,774.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.