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Finding the Third Proportional to 334,274 and 734,692

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Solution

The third proportional to 334,274 and 734,692 is: 1,614,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,274 : 734,692 = 734,692 : x
  2. Step 2: Convert to fraction form
    334,274/734,692 = 734,692/x
  3. Step 3: Cross multiply
    334,274x = 734,692 × 734,692
  4. Step 4: Simplify right side
    334,274x = 539,772,334,864
  5. Step 5: Solve for x
    x = 539,772,334,864/334,274
  6. Step 6: Final answer
    x = 1,614,760.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.