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Finding the Third Proportional to 281,641 and 626,252

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Solution

The third proportional to 281,641 and 626,252 is: 1,392,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,641 : 626,252 = 626,252 : x
  2. Step 2: Convert to fraction form
    281,641/626,252 = 626,252/x
  3. Step 3: Cross multiply
    281,641x = 626,252 × 626,252
  4. Step 4: Simplify right side
    281,641x = 392,191,567,504
  5. Step 5: Solve for x
    x = 392,191,567,504/281,641
  6. Step 6: Final answer
    x = 1,392,522.99

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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.