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Finding the Third Proportional to 510,885 and 773,402.25

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Solution

The third proportional to 510,885 and 773,402.25 is: 1,170,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,885 : 773,402.25 = 773,402.25 : x
  2. Step 2: Convert to fraction form
    510,885/773,402.25 = 773,402.25/x
  3. Step 3: Cross multiply
    510,885x = 773,402.25 × 773,402.25
  4. Step 4: Simplify right side
    510,885x = 598,151,040,305.06
  5. Step 5: Solve for x
    x = 598,151,040,305.06/510,885
  6. Step 6: Final answer
    x = 1,170,813.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.