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Finding the Third Proportional to 510,337.97 and 769,608.84

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Solution

The third proportional to 510,337.97 and 769,608.84 is: 1,160,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,337.97 : 769,608.84 = 769,608.84 : x
  2. Step 2: Convert to fraction form
    510,337.97/769,608.84 = 769,608.84/x
  3. Step 3: Cross multiply
    510,337.97x = 769,608.84 × 769,608.84
  4. Step 4: Simplify right side
    510,337.97x = 592,297,772,378.21
  5. Step 5: Solve for x
    x = 592,297,772,378.21/510,337.97
  6. Step 6: Final answer
    x = 1,160,599.07

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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.