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Finding the Third Proportional to 353,878.50 and 769,965

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Solution

The third proportional to 353,878.50 and 769,965 is: 1,675,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,878.50 : 769,965 = 769,965 : x
  2. Step 2: Convert to fraction form
    353,878.50/769,965 = 769,965/x
  3. Step 3: Cross multiply
    353,878.50x = 769,965 × 769,965
  4. Step 4: Simplify right side
    353,878.50x = 592,846,101,225
  5. Step 5: Solve for x
    x = 592,846,101,225/353,878.50
  6. Step 6: Final answer
    x = 1,675,281.49

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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.