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Finding the Third Proportional to 335,739.75 and 728,256

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Solution

The third proportional to 335,739.75 and 728,256 is: 1,579,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,739.75 : 728,256 = 728,256 : x
  2. Step 2: Convert to fraction form
    335,739.75/728,256 = 728,256/x
  3. Step 3: Cross multiply
    335,739.75x = 728,256 × 728,256
  4. Step 4: Simplify right side
    335,739.75x = 530,356,801,536
  5. Step 5: Solve for x
    x = 530,356,801,536/335,739.75
  6. Step 6: Final answer
    x = 1,579,666.40

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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.