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Finding the Third Proportional to 283,497 and 438,966

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Solution

The third proportional to 283,497 and 438,966 is: 679,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,497 : 438,966 = 438,966 : x
  2. Step 2: Convert to fraction form
    283,497/438,966 = 438,966/x
  3. Step 3: Cross multiply
    283,497x = 438,966 × 438,966
  4. Step 4: Simplify right side
    283,497x = 192,691,149,156
  5. Step 5: Solve for x
    x = 192,691,149,156/283,497
  6. Step 6: Final answer
    x = 679,693.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.