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Finding the Third Proportional to 334,213 and 695,963

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Solution

The third proportional to 334,213 and 695,963 is: 1,449,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,213 : 695,963 = 695,963 : x
  2. Step 2: Convert to fraction form
    334,213/695,963 = 695,963/x
  3. Step 3: Cross multiply
    334,213x = 695,963 × 695,963
  4. Step 4: Simplify right side
    334,213x = 484,364,497,369
  5. Step 5: Solve for x
    x = 484,364,497,369/334,213
  6. Step 6: Final answer
    x = 1,449,268.87

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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.