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Finding the Third Proportional to 353,148.75 and 766,500

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Solution

The third proportional to 353,148.75 and 766,500 is: 1,663,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,148.75 : 766,500 = 766,500 : x
  2. Step 2: Convert to fraction form
    353,148.75/766,500 = 766,500/x
  3. Step 3: Cross multiply
    353,148.75x = 766,500 × 766,500
  4. Step 4: Simplify right side
    353,148.75x = 587,522,250,000
  5. Step 5: Solve for x
    x = 587,522,250,000/353,148.75
  6. Step 6: Final answer
    x = 1,663,667.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.