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Finding the Third Proportional to 333,588 and 680,760

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Solution

The third proportional to 333,588 and 680,760 is: 1,389,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,588 : 680,760 = 680,760 : x
  2. Step 2: Convert to fraction form
    333,588/680,760 = 680,760/x
  3. Step 3: Cross multiply
    333,588x = 680,760 × 680,760
  4. Step 4: Simplify right side
    333,588x = 463,434,177,600
  5. Step 5: Solve for x
    x = 463,434,177,600/333,588
  6. Step 6: Final answer
    x = 1,389,241.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.