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Finding the Third Proportional to 334,212 and 695,966

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Solution

The third proportional to 334,212 and 695,966 is: 1,449,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,212 : 695,966 = 695,966 : x
  2. Step 2: Convert to fraction form
    334,212/695,966 = 695,966/x
  3. Step 3: Cross multiply
    334,212x = 695,966 × 695,966
  4. Step 4: Simplify right side
    334,212x = 484,368,673,156
  5. Step 5: Solve for x
    x = 484,368,673,156/334,212
  6. Step 6: Final answer
    x = 1,449,285.70

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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.