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Finding the Third Proportional to 285,912 and 420,551

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Solution

The third proportional to 285,912 and 420,551 is: 618,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,912 : 420,551 = 420,551 : x
  2. Step 2: Convert to fraction form
    285,912/420,551 = 420,551/x
  3. Step 3: Cross multiply
    285,912x = 420,551 × 420,551
  4. Step 4: Simplify right side
    285,912x = 176,863,143,601
  5. Step 5: Solve for x
    x = 176,863,143,601/285,912
  6. Step 6: Final answer
    x = 618,592.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.