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Finding the Third Proportional to 337,830.75 and 728,028

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Solution

The third proportional to 337,830.75 and 728,028 is: 1,568,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,830.75 : 728,028 = 728,028 : x
  2. Step 2: Convert to fraction form
    337,830.75/728,028 = 728,028/x
  3. Step 3: Cross multiply
    337,830.75x = 728,028 × 728,028
  4. Step 4: Simplify right side
    337,830.75x = 530,024,768,784
  5. Step 5: Solve for x
    x = 530,024,768,784/337,830.75
  6. Step 6: Final answer
    x = 1,568,906.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.