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Finding the Third Proportional to 337,844 and 728,056

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Solution

The third proportional to 337,844 and 728,056 is: 1,568,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,844 : 728,056 = 728,056 : x
  2. Step 2: Convert to fraction form
    337,844/728,056 = 728,056/x
  3. Step 3: Cross multiply
    337,844x = 728,056 × 728,056
  4. Step 4: Simplify right side
    337,844x = 530,065,539,136
  5. Step 5: Solve for x
    x = 530,065,539,136/337,844
  6. Step 6: Final answer
    x = 1,568,965.38

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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.