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Finding the Third Proportional to 334,205 and 695,950

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Solution

The third proportional to 334,205 and 695,950 is: 1,449,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,205 : 695,950 = 695,950 : x
  2. Step 2: Convert to fraction form
    334,205/695,950 = 695,950/x
  3. Step 3: Cross multiply
    334,205x = 695,950 × 695,950
  4. Step 4: Simplify right side
    334,205x = 484,346,402,500
  5. Step 5: Solve for x
    x = 484,346,402,500/334,205
  6. Step 6: Final answer
    x = 1,449,249.42

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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.