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Finding the Third Proportional to 636.19 and 1,341.14

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Solution

The third proportional to 636.19 and 1,341.14 is: 2,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.19 : 1,341.14 = 1,341.14 : x
  2. Step 2: Convert to fraction form
    636.19/1,341.14 = 1,341.14/x
  3. Step 3: Cross multiply
    636.19x = 1,341.14 × 1,341.14
  4. Step 4: Simplify right side
    636.19x = 1,798,658.18
  5. Step 5: Solve for x
    x = 1,798,658.18/636.19
  6. Step 6: Final answer
    x = 2,827.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.