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Finding the Third Proportional to 334,732.50 and 696,539.25

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Solution

The third proportional to 334,732.50 and 696,539.25 is: 1,449,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,732.50 : 696,539.25 = 696,539.25 : x
  2. Step 2: Convert to fraction form
    334,732.50/696,539.25 = 696,539.25/x
  3. Step 3: Cross multiply
    334,732.50x = 696,539.25 × 696,539.25
  4. Step 4: Simplify right side
    334,732.50x = 485,166,926,790.56
  5. Step 5: Solve for x
    x = 485,166,926,790.56/334,732.50
  6. Step 6: Final answer
    x = 1,449,416.85

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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.