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Finding the Third Proportional to 510,051.75 and 765,162

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Solution

The third proportional to 510,051.75 and 765,162 is: 1,147,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,051.75 : 765,162 = 765,162 : x
  2. Step 2: Convert to fraction form
    510,051.75/765,162 = 765,162/x
  3. Step 3: Cross multiply
    510,051.75x = 765,162 × 765,162
  4. Step 4: Simplify right side
    510,051.75x = 585,472,886,244
  5. Step 5: Solve for x
    x = 585,472,886,244/510,051.75
  6. Step 6: Final answer
    x = 1,147,869.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.