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Finding the Third Proportional to 334,204.31 and 695,946.94

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Solution

The third proportional to 334,204.31 and 695,946.94 is: 1,449,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,204.31 : 695,946.94 = 695,946.94 : x
  2. Step 2: Convert to fraction form
    334,204.31/695,946.94 = 695,946.94/x
  3. Step 3: Cross multiply
    334,204.31x = 695,946.94 × 695,946.94
  4. Step 4: Simplify right side
    334,204.31x = 484,342,139,815.63
  5. Step 5: Solve for x
    x = 484,342,139,815.63/334,204.31
  6. Step 6: Final answer
    x = 1,449,239.65

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