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Finding the Third Proportional to 297,324 and 641,304

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Solution

The third proportional to 297,324 and 641,304 is: 1,383,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,324 : 641,304 = 641,304 : x
  2. Step 2: Convert to fraction form
    297,324/641,304 = 641,304/x
  3. Step 3: Cross multiply
    297,324x = 641,304 × 641,304
  4. Step 4: Simplify right side
    297,324x = 411,270,820,416
  5. Step 5: Solve for x
    x = 411,270,820,416/297,324
  6. Step 6: Final answer
    x = 1,383,241.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.