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Finding the Third Proportional to 286.13 and 646.69

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Solution

The third proportional to 286.13 and 646.69 is: 1,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.13 : 646.69 = 646.69 : x
  2. Step 2: Convert to fraction form
    286.13/646.69 = 646.69/x
  3. Step 3: Cross multiply
    286.13x = 646.69 × 646.69
  4. Step 4: Simplify right side
    286.13x = 418,204.72
  5. Step 5: Solve for x
    x = 418,204.72/286.13
  6. Step 6: Final answer
    x = 1,461.62

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.