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Finding the Third Proportional to 281,524.50 and 612,621

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Solution

The third proportional to 281,524.50 and 612,621 is: 1,333,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,524.50 : 612,621 = 612,621 : x
  2. Step 2: Convert to fraction form
    281,524.50/612,621 = 612,621/x
  3. Step 3: Cross multiply
    281,524.50x = 612,621 × 612,621
  4. Step 4: Simplify right side
    281,524.50x = 375,304,489,641
  5. Step 5: Solve for x
    x = 375,304,489,641/281,524.50
  6. Step 6: Final answer
    x = 1,333,114.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.