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Finding the Third Proportional to 664.69 and 1,435.59

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Solution

The third proportional to 664.69 and 1,435.59 is: 3,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.69 : 1,435.59 = 1,435.59 : x
  2. Step 2: Convert to fraction form
    664.69/1,435.59 = 1,435.59/x
  3. Step 3: Cross multiply
    664.69x = 1,435.59 × 1,435.59
  4. Step 4: Simplify right side
    664.69x = 2,060,929.42
  5. Step 5: Solve for x
    x = 2,060,929.42/664.69
  6. Step 6: Final answer
    x = 3,100.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.