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Finding the Third Proportional to 334,560 and 736,512

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Solution

The third proportional to 334,560 and 736,512 is: 1,621,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,560 : 736,512 = 736,512 : x
  2. Step 2: Convert to fraction form
    334,560/736,512 = 736,512/x
  3. Step 3: Cross multiply
    334,560x = 736,512 × 736,512
  4. Step 4: Simplify right side
    334,560x = 542,449,926,144
  5. Step 5: Solve for x
    x = 542,449,926,144/334,560
  6. Step 6: Final answer
    x = 1,621,383.09

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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.