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Finding the Third Proportional to 334,214 and 695,970

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Solution

The third proportional to 334,214 and 695,970 is: 1,449,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,214 : 695,970 = 695,970 : x
  2. Step 2: Convert to fraction form
    334,214/695,970 = 695,970/x
  3. Step 3: Cross multiply
    334,214x = 695,970 × 695,970
  4. Step 4: Simplify right side
    334,214x = 484,374,240,900
  5. Step 5: Solve for x
    x = 484,374,240,900/334,214
  6. Step 6: Final answer
    x = 1,449,293.69

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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.