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Finding the Third Proportional to 301,654.13 and 658,241.44

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Solution

The third proportional to 301,654.13 and 658,241.44 is: 1,436,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,654.13 : 658,241.44 = 658,241.44 : x
  2. Step 2: Convert to fraction form
    301,654.13/658,241.44 = 658,241.44/x
  3. Step 3: Cross multiply
    301,654.13x = 658,241.44 × 658,241.44
  4. Step 4: Simplify right side
    301,654.13x = 433,281,790,042.07
  5. Step 5: Solve for x
    x = 433,281,790,042.07/301,654.13
  6. Step 6: Final answer
    x = 1,436,352.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.