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Finding the Third Proportional to 334,154 and 695,956

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Solution

The third proportional to 334,154 and 695,956 is: 1,449,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,154 : 695,956 = 695,956 : x
  2. Step 2: Convert to fraction form
    334,154/695,956 = 695,956/x
  3. Step 3: Cross multiply
    334,154x = 695,956 × 695,956
  4. Step 4: Simplify right side
    334,154x = 484,354,753,936
  5. Step 5: Solve for x
    x = 484,354,753,936/334,154
  6. Step 6: Final answer
    x = 1,449,495.60

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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.