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Finding the Third Proportional to 334,210 and 695,962

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Solution

The third proportional to 334,210 and 695,962 is: 1,449,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,210 : 695,962 = 695,962 : x
  2. Step 2: Convert to fraction form
    334,210/695,962 = 695,962/x
  3. Step 3: Cross multiply
    334,210x = 695,962 × 695,962
  4. Step 4: Simplify right side
    334,210x = 484,363,105,444
  5. Step 5: Solve for x
    x = 484,363,105,444/334,210
  6. Step 6: Final answer
    x = 1,449,277.72

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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.