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Finding the Third Proportional to 281,733 and 626,458

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Solution

The third proportional to 281,733 and 626,458 is: 1,392,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,733 : 626,458 = 626,458 : x
  2. Step 2: Convert to fraction form
    281,733/626,458 = 626,458/x
  3. Step 3: Cross multiply
    281,733x = 626,458 × 626,458
  4. Step 4: Simplify right side
    281,733x = 392,449,625,764
  5. Step 5: Solve for x
    x = 392,449,625,764/281,733
  6. Step 6: Final answer
    x = 1,392,984.23

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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.