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Finding the Third Proportional to 281,806 and 624,382

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Solution

The third proportional to 281,806 and 624,382 is: 1,383,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,806 : 624,382 = 624,382 : x
  2. Step 2: Convert to fraction form
    281,806/624,382 = 624,382/x
  3. Step 3: Cross multiply
    281,806x = 624,382 × 624,382
  4. Step 4: Simplify right side
    281,806x = 389,852,881,924
  5. Step 5: Solve for x
    x = 389,852,881,924/281,806
  6. Step 6: Final answer
    x = 1,383,408.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.