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Finding the Third Proportional to 669.94 and 1,442.53

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Solution

The third proportional to 669.94 and 1,442.53 is: 3,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.94 : 1,442.53 = 1,442.53 : x
  2. Step 2: Convert to fraction form
    669.94/1,442.53 = 1,442.53/x
  3. Step 3: Cross multiply
    669.94x = 1,442.53 × 1,442.53
  4. Step 4: Simplify right side
    669.94x = 2,080,896.41
  5. Step 5: Solve for x
    x = 2,080,896.41/669.94
  6. Step 6: Final answer
    x = 3,106.11

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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.