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Finding the Third Proportional to 353,886 and 769,977.75

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Solution

The third proportional to 353,886 and 769,977.75 is: 1,675,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,886 : 769,977.75 = 769,977.75 : x
  2. Step 2: Convert to fraction form
    353,886/769,977.75 = 769,977.75/x
  3. Step 3: Cross multiply
    353,886x = 769,977.75 × 769,977.75
  4. Step 4: Simplify right side
    353,886x = 592,865,735,495.06
  5. Step 5: Solve for x
    x = 592,865,735,495.06/353,886
  6. Step 6: Final answer
    x = 1,675,301.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.