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Finding the Third Proportional to 354,883.46 and 769,665.96

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Solution

The third proportional to 354,883.46 and 769,665.96 is: 1,669,240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,883.46 : 769,665.96 = 769,665.96 : x
  2. Step 2: Convert to fraction form
    354,883.46/769,665.96 = 769,665.96/x
  3. Step 3: Cross multiply
    354,883.46x = 769,665.96 × 769,665.96
  4. Step 4: Simplify right side
    354,883.46x = 592,385,682,406.32
  5. Step 5: Solve for x
    x = 592,385,682,406.32/354,883.46
  6. Step 6: Final answer
    x = 1,669,240.02

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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.