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Finding the Third Proportional to 375,241.50 and 765,765

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Solution

The third proportional to 375,241.50 and 765,765 is: 1,562,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,241.50 : 765,765 = 765,765 : x
  2. Step 2: Convert to fraction form
    375,241.50/765,765 = 765,765/x
  3. Step 3: Cross multiply
    375,241.50x = 765,765 × 765,765
  4. Step 4: Simplify right side
    375,241.50x = 586,396,035,225
  5. Step 5: Solve for x
    x = 586,396,035,225/375,241.50
  6. Step 6: Final answer
    x = 1,562,716.37

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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.