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Finding the Third Proportional to 281,234 and 624,676

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Solution

The third proportional to 281,234 and 624,676 is: 1,387,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,234 : 624,676 = 624,676 : x
  2. Step 2: Convert to fraction form
    281,234/624,676 = 624,676/x
  3. Step 3: Cross multiply
    281,234x = 624,676 × 624,676
  4. Step 4: Simplify right side
    281,234x = 390,220,104,976
  5. Step 5: Solve for x
    x = 390,220,104,976/281,234
  6. Step 6: Final answer
    x = 1,387,528.20

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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.