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Finding the Third Proportional to 510,717 and 773,185.50

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Solution

The third proportional to 510,717 and 773,185.50 is: 1,170,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,717 : 773,185.50 = 773,185.50 : x
  2. Step 2: Convert to fraction form
    510,717/773,185.50 = 773,185.50/x
  3. Step 3: Cross multiply
    510,717x = 773,185.50 × 773,185.50
  4. Step 4: Simplify right side
    510,717x = 597,815,817,410.25
  5. Step 5: Solve for x
    x = 597,815,817,410.25/510,717
  6. Step 6: Final answer
    x = 1,170,542.23

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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.