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Finding the Third Proportional to 334,744 and 696,562

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Solution

The third proportional to 334,744 and 696,562 is: 1,449,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,744 : 696,562 = 696,562 : x
  2. Step 2: Convert to fraction form
    334,744/696,562 = 696,562/x
  3. Step 3: Cross multiply
    334,744x = 696,562 × 696,562
  4. Step 4: Simplify right side
    334,744x = 485,198,619,844
  5. Step 5: Solve for x
    x = 485,198,619,844/334,744
  6. Step 6: Final answer
    x = 1,449,461.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.