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Finding the Third Proportional to 512,394.75 and 765,765

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Solution

The third proportional to 512,394.75 and 765,765 is: 1,144,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,394.75 : 765,765 = 765,765 : x
  2. Step 2: Convert to fraction form
    512,394.75/765,765 = 765,765/x
  3. Step 3: Cross multiply
    512,394.75x = 765,765 × 765,765
  4. Step 4: Simplify right side
    512,394.75x = 586,396,035,225
  5. Step 5: Solve for x
    x = 586,396,035,225/512,394.75
  6. Step 6: Final answer
    x = 1,144,422.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.