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Finding the Third Proportional to 353,196 and 769,439.25

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Solution

The third proportional to 353,196 and 769,439.25 is: 1,676,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,196 : 769,439.25 = 769,439.25 : x
  2. Step 2: Convert to fraction form
    353,196/769,439.25 = 769,439.25/x
  3. Step 3: Cross multiply
    353,196x = 769,439.25 × 769,439.25
  4. Step 4: Simplify right side
    353,196x = 592,036,759,440.56
  5. Step 5: Solve for x
    x = 592,036,759,440.56/353,196
  6. Step 6: Final answer
    x = 1,676,227.25

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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.