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Finding the Third Proportional to 334,201.50 and 695,943

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Solution

The third proportional to 334,201.50 and 695,943 is: 1,449,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,201.50 : 695,943 = 695,943 : x
  2. Step 2: Convert to fraction form
    334,201.50/695,943 = 695,943/x
  3. Step 3: Cross multiply
    334,201.50x = 695,943 × 695,943
  4. Step 4: Simplify right side
    334,201.50x = 484,336,659,249
  5. Step 5: Solve for x
    x = 484,336,659,249/334,201.50
  6. Step 6: Final answer
    x = 1,449,235.44

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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.