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Finding the Third Proportional to 463.63 and 979.38

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Solution

The third proportional to 463.63 and 979.38 is: 2,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.63 : 979.38 = 979.38 : x
  2. Step 2: Convert to fraction form
    463.63/979.38 = 979.38/x
  3. Step 3: Cross multiply
    463.63x = 979.38 × 979.38
  4. Step 4: Simplify right side
    463.63x = 959,175.39
  5. Step 5: Solve for x
    x = 959,175.39/463.63
  6. Step 6: Final answer
    x = 2,068.86

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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.