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Finding the Third Proportional to 645.47 and 1,390.61

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Solution

The third proportional to 645.47 and 1,390.61 is: 2,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.47 : 1,390.61 = 1,390.61 : x
  2. Step 2: Convert to fraction form
    645.47/1,390.61 = 1,390.61/x
  3. Step 3: Cross multiply
    645.47x = 1,390.61 × 1,390.61
  4. Step 4: Simplify right side
    645.47x = 1,933,783.57
  5. Step 5: Solve for x
    x = 1,933,783.57/645.47
  6. Step 6: Final answer
    x = 2,995.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.