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Finding the Third Proportional to 353,353.50 and 766,917

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Solution

The third proportional to 353,353.50 and 766,917 is: 1,664,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,353.50 : 766,917 = 766,917 : x
  2. Step 2: Convert to fraction form
    353,353.50/766,917 = 766,917/x
  3. Step 3: Cross multiply
    353,353.50x = 766,917 × 766,917
  4. Step 4: Simplify right side
    353,353.50x = 588,161,684,889
  5. Step 5: Solve for x
    x = 588,161,684,889/353,353.50
  6. Step 6: Final answer
    x = 1,664,513.54

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Why These Related Problems?

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