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Finding the Third Proportional to 334,100 and 728,496

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Solution

The third proportional to 334,100 and 728,496 is: 1,588,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,100 : 728,496 = 728,496 : x
  2. Step 2: Convert to fraction form
    334,100/728,496 = 728,496/x
  3. Step 3: Cross multiply
    334,100x = 728,496 × 728,496
  4. Step 4: Simplify right side
    334,100x = 530,706,422,016
  5. Step 5: Solve for x
    x = 530,706,422,016/334,100
  6. Step 6: Final answer
    x = 1,588,465.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.