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Finding the Third Proportional to 336,420 and 734,760

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Solution

The third proportional to 336,420 and 734,760 is: 1,604,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,420 : 734,760 = 734,760 : x
  2. Step 2: Convert to fraction form
    336,420/734,760 = 734,760/x
  3. Step 3: Cross multiply
    336,420x = 734,760 × 734,760
  4. Step 4: Simplify right side
    336,420x = 539,872,257,600
  5. Step 5: Solve for x
    x = 539,872,257,600/336,420
  6. Step 6: Final answer
    x = 1,604,756.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.