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Finding the Third Proportional to 281,674 and 626,318

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Solution

The third proportional to 281,674 and 626,318 is: 1,392,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,674 : 626,318 = 626,318 : x
  2. Step 2: Convert to fraction form
    281,674/626,318 = 626,318/x
  3. Step 3: Cross multiply
    281,674x = 626,318 × 626,318
  4. Step 4: Simplify right side
    281,674x = 392,274,237,124
  5. Step 5: Solve for x
    x = 392,274,237,124/281,674
  6. Step 6: Final answer
    x = 1,392,653.34

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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.