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Finding the Third Proportional to 353,694.75 and 763,671

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Solution

The third proportional to 353,694.75 and 763,671 is: 1,648,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,694.75 : 763,671 = 763,671 : x
  2. Step 2: Convert to fraction form
    353,694.75/763,671 = 763,671/x
  3. Step 3: Cross multiply
    353,694.75x = 763,671 × 763,671
  4. Step 4: Simplify right side
    353,694.75x = 583,193,396,241
  5. Step 5: Solve for x
    x = 583,193,396,241/353,694.75
  6. Step 6: Final answer
    x = 1,648,860.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.