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Finding the Third Proportional to 335,745 and 728,265

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Solution

The third proportional to 335,745 and 728,265 is: 1,579,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,745 : 728,265 = 728,265 : x
  2. Step 2: Convert to fraction form
    335,745/728,265 = 728,265/x
  3. Step 3: Cross multiply
    335,745x = 728,265 × 728,265
  4. Step 4: Simplify right side
    335,745x = 530,369,910,225
  5. Step 5: Solve for x
    x = 530,369,910,225/335,745
  6. Step 6: Final answer
    x = 1,579,680.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.