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Finding the Third Proportional to 363,102.75 and 769,398.75

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Solution

The third proportional to 363,102.75 and 769,398.75 is: 1,630,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,102.75 : 769,398.75 = 769,398.75 : x
  2. Step 2: Convert to fraction form
    363,102.75/769,398.75 = 769,398.75/x
  3. Step 3: Cross multiply
    363,102.75x = 769,398.75 × 769,398.75
  4. Step 4: Simplify right side
    363,102.75x = 591,974,436,501.56
  5. Step 5: Solve for x
    x = 591,974,436,501.56/363,102.75
  6. Step 6: Final answer
    x = 1,630,322.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.